This is pdfTeX, Version 3.14159-1.10b (Web2C 7.4.5) (format=pdflatex 2003.8.8)  11 MAY 2005 07:17
**manual
(./manual.tex{/usr/share/texmf/pdftex/config/pdftex.cfg}
LaTeX2e <2001/06/01>
Babel <v3.7h> and hyphenation patterns for american, french, german, ngerman, n
ohyphenation, loaded.
(/usr/share/texmf/tex/latex/base/report.cls
Document Class: report 2001/04/21 v1.4e Standard LaTeX document class
(/usr/share/texmf/tex/latex/base/size11.clo
File: size11.clo 2001/04/21 v1.4e Standard LaTeX file (size option)
)
\c@part=\count79
\c@chapter=\count80
\c@section=\count81
\c@subsection=\count82
\c@subsubsection=\count83
\c@paragraph=\count84
\c@subparagraph=\count85
\c@figure=\count86
\c@table=\count87
\abovecaptionskip=\skip41
\belowcaptionskip=\skip42
\bibindent=\dimen102
)
(/usr/share/texmf/tex/latex/misc/a4wide.sty
Package: a4wide 1994/08/30

(/usr/share/texmf/tex/latex/ntgclass/a4.sty
Package: a4 1999/03/03 v1.2f A4 based page layout
))
(/usr/share/texmf/tex/latex/amsfonts/amssymb.sty
Package: amssymb 2002/01/22 v2.2d

(/usr/share/texmf/tex/latex/amsfonts/amsfonts.sty
Package: amsfonts 2001/10/25 v2.2f
\@emptytoks=\toks14
\symAMSa=\mathgroup4
\symAMSb=\mathgroup5
LaTeX Font Info:    Overwriting math alphabet `\mathfrak' in version `bold'
(Font)                  U/euf/m/n --> U/euf/b/n on input line 132.
))
(/usr/share/texmf/tex/latex/base/inputenc.sty
Package: inputenc 2001/07/10 v0.99a Input encoding file 

(/usr/share/texmf/tex/latex/base/latin1.def
File: latin1.def 2001/07/10 v0.99a Input encoding file 
))
(/usr/share/texmf/tex/latex/base/makeidx.sty
Package: makeidx 2000/03/29 v1.0m Standard LaTeX package
)
\@indexfile=\write3
\openout3 = `manual.idx'.


Writing index file manual.idx
(/usr/share/texmf/tex/latex/graphics/color.sty
Package: color 1999/02/16 v1.0i Standard LaTeX Color (DPC)

(/usr/share/texmf/tex/latex/config/color.cfg
File: color.cfg 2001/08/31 v1.1 color configuration of teTeX/TeXLive
)
Package color Info: Driver file: pdftex.def on input line 125.

(/usr/share/texmf/tex/latex/graphics/pdftex.def
File: pdftex.def 2002/06/19 v0.03k graphics/color for pdftex
\Gread@gobject=\count88
))
(/usr/share/texmf/tex/latex/fancyvrb/fancyvrb.sty
Package: fancyvrb 2000/03/21

Style option: `fancyvrb' v2.7, with DG/SPQR fixes <2000/03/21> (tvz)
(/usr/share/texmf/tex/latex/graphics/keyval.sty
Package: keyval 1999/03/16 v1.13 key=value parser (DPC)
\KV@toks@=\toks15
)
\FV@CodeLineNo=\count89
\FV@InFile=\read1
\FV@TabBox=\box26
\c@FancyVerbLine=\count90
\FV@StepNumber=\count91
\FV@OutFile=\write4
)
(/usr/share/texmf/tex/latex/misc/pslatex.sty
Package: pslatex 1996/07/24 v1.2 pslatex emulation (DPC)
LaTeX Font Info:    Redeclaring symbol font `operators' on input line 65.
LaTeX Font Info:    Overwriting symbol font `operators' in version `normal'
(Font)                  OT1/cmr/m/n --> OT1/ptmcm/m/n on input line 65.
LaTeX Font Info:    Overwriting symbol font `operators' in version `bold'
(Font)                  OT1/cmr/bx/n --> OT1/ptmcm/m/n on input line 65.
LaTeX Font Info:    Redeclaring symbol font `letters' on input line 66.
LaTeX Font Info:    Overwriting symbol font `letters' in version `normal'
(Font)                  OML/cmm/m/it --> OML/ptmcm/m/it on input line 66.
LaTeX Font Info:    Overwriting symbol font `letters' in version `bold'
(Font)                  OML/cmm/b/it --> OML/ptmcm/m/it on input line 66.
LaTeX Font Info:    Redeclaring symbol font `symbols' on input line 67.
LaTeX Font Info:    Overwriting symbol font `symbols' in version `normal'
(Font)                  OMS/cmsy/m/n --> OMS/pzccm/m/n on input line 67.
LaTeX Font Info:    Overwriting symbol font `symbols' in version `bold'
(Font)                  OMS/cmsy/b/n --> OMS/pzccm/m/n on input line 67.
LaTeX Font Info:    Redeclaring symbol font `largesymbols' on input line 68.
LaTeX Font Info:    Overwriting symbol font `largesymbols' in version `normal'
(Font)                  OMX/cmex/m/n --> OMX/psycm/m/n on input line 68.
LaTeX Font Info:    Overwriting symbol font `largesymbols' in version `bold'
(Font)                  OMX/cmex/m/n --> OMX/psycm/m/n on input line 68.
\symbold=\mathgroup6
\symitalic=\mathgroup7
LaTeX Font Info:    Redeclaring math alphabet \mathbf on input line 74.
LaTeX Font Info:    Overwriting math alphabet `\mathbf' in version `normal'
(Font)                  OT1/cmr/bx/n --> OT1/ptm/bx/n on input line 74.
LaTeX Font Info:    Overwriting math alphabet `\mathbf' in version `bold'
(Font)                  OT1/cmr/bx/n --> OT1/ptm/bx/n on input line 74.
LaTeX Font Info:    Redeclaring math alphabet \mathit on input line 75.
LaTeX Font Info:    Overwriting math alphabet `\mathit' in version `normal'
(Font)                  OT1/cmr/m/it --> OT1/ptm/m/it on input line 75.
LaTeX Font Info:    Overwriting math alphabet `\mathit' in version `bold'
(Font)                  OT1/cmr/bx/it --> OT1/ptm/m/it on input line 75.
)
(/usr/share/texmf/tex/latex/hyperref/hyperref.sty
Package: hyperref 2003/01/22 v6.73n Hypertext links for LaTeX
\@linkdim=\dimen103
\Hy@linkcounter=\count92
\Hy@pagecounter=\count93

(/usr/share/texmf/tex/latex/hyperref/pd1enc.def
File: pd1enc.def 2003/01/22 v6.73n Hyperref: PDFDocEncoding definition (HO)
)
(/usr/share/texmf/tex/latex/config/hyperref.cfg
File: hyperref.cfg 2002/06/06 v1.2 hyperref configuration of TeXLive and teTeX
)
Package hyperref Info: Option `bookmarks' set `false' on input line 1744.
Package hyperref Info: Option `colorlinks' set `true' on input line 1744.
Package hyperref Info: Option `breaklinks' set `true' on input line 1744.
Package hyperref Info: Hyper figures OFF on input line 1792.
Package hyperref Info: Link nesting OFF on input line 1797.
Package hyperref Info: Hyper index ON on input line 1800.
Package hyperref Info: Plain pages ON on input line 1805.
Package hyperref Info: Backreferencing ON on input line 1810.

Implicit mode ON; LaTeX internals redefined
Package hyperref Info: Bookmarks OFF on input line 1922.
(/usr/share/texmf/tex/latex/hyperref/backref.sty
Package: backref 2002/06/09 v1.20 Bibliographical back referencing
)
(/usr/share/texmf/tex/latex/html/url.sty
Package: url 1999/03/02  ver 1.4  Verb mode for urls, email addresses, and file
 names
)
LaTeX Info: Redefining \url on input line 2055.
\Fld@menulength=\count94
\Field@Width=\dimen104
\Fld@charsize=\dimen105
\Choice@toks=\toks16
\Field@toks=\toks17
Package hyperref Info: Hyper figures OFF on input line 2513.
Package hyperref Info: Link nesting OFF on input line 2518.
Package hyperref Info: Hyper index ON on input line 2521.
Package hyperref Info: backreferencing ON on input line 2526.
Package hyperref Info: Link coloring ON on input line 2531.
\c@Item=\count95
\c@Hfootnote=\count96
)
*hyperref using default driver hpdftex*
(/usr/share/texmf/tex/latex/hyperref/hpdftex.def
File: hpdftex.def 2003/01/22 v6.73n Hyperref driver for pdfTeX

(/usr/share/texmf/tex/latex/psnfss/pifont.sty
Package: pifont 2002/09/08 PSNFSS-v9.0a Pi font support (SPQR) 
LaTeX Font Info:    Try loading font information for U+pzd on input line 62.

(/usr/share/texmf/tex/latex/psnfss/upzd.fd
File: upzd.fd 2001/06/04 font definitions for U/pzd.
)
LaTeX Font Info:    Try loading font information for U+psy on input line 63.

(/usr/share/texmf/tex/latex/psnfss/upsy.fd
File: upsy.fd 2001/06/04 font definitions for U/psy.
))
\Fld@listcount=\count97
\@outlinefile=\write5
)
\pagenrlog=\write6
\openout6 = `manual.pnr'.

\backslashbox=\box27
 (./manual.aux

LaTeX Warning: Label `Involution' multiply defined.


LaTeX Warning: Label `IsUnit' multiply defined.


LaTeX Warning: Label `LeftIdealBySubgroup' multiply defined.


LaTeX Warning: Label `Embedding' multiply defined.


LaTeX Warning: Label `LieUpperCodimensionSeries' multiply defined.

)
\openout1 = `manual.aux'.

LaTeX Font Info:    Checking defaults for OML/cmm/m/it on input line 51.
LaTeX Font Info:    ... okay on input line 51.
LaTeX Font Info:    Checking defaults for T1/cmr/m/n on input line 51.
LaTeX Font Info:    ... okay on input line 51.
LaTeX Font Info:    Checking defaults for OT1/cmr/m/n on input line 51.
LaTeX Font Info:    ... okay on input line 51.
LaTeX Font Info:    Checking defaults for OMS/pzccm/m/n on input line 51.
LaTeX Font Info:    Try loading font information for OMS+pzccm on input line 51
.
 (/usr/share/texmf/tex/latex/psnfss/omspzccm.fd
File: omspzccm.fd 2000/01/03 Fontinst v1.801 font definitions for OMS/pzccm.
)
LaTeX Font Info:    ... okay on input line 51.
LaTeX Font Info:    Checking defaults for OMX/cmex/m/n on input line 51.
LaTeX Font Info:    ... okay on input line 51.
LaTeX Font Info:    Checking defaults for U/cmr/m/n on input line 51.
LaTeX Font Info:    ... okay on input line 51.
LaTeX Font Info:    Checking defaults for PD1/pdf/m/n on input line 51.
LaTeX Font Info:    ... okay on input line 51.

(/usr/share/texmf/tex/context/base/supp-pdf.tex
(/usr/share/texmf/tex/context/base/supp-mis.tex
loading : Context Support Macros / Missing
\protectiondepth=\count98
\scratchcounter=\count99
\scratchtoks=\toks18
\scratchdimen=\dimen106
\scratchskip=\skip43
\scratchmuskip=\muskip10
\scratchbox=\box28
\scratchread=\read2
\scratchwrite=\write7
\zeropoint=\dimen107
\minusone=\count100
\thousandpoint=\dimen108
\emptytoks=\toks19
\nextbox=\box29
\nextdepth=\dimen109
\everyline=\toks20
\!!counta=\count101
\!!countb=\count102
\recursecounter=\count103
)
loading : Context Support Macros / PDF
\nofMPsegments=\count104
\nofMParguments=\count105
\everyMPtoPDFconversion=\toks21
)
Package hyperref Info: Link coloring ON on input line 51.
 (/usr/share/texmf/tex/latex/hyperref/nameref.sty
Package: nameref 2001/01/27 v2.19 Cross-referencing by name of section
\c@section@level=\count106
)
LaTeX Info: Redefining \ref on input line 51.
LaTeX Info: Redefining \pageref on input line 51.
LaTeX Font Info:    Font shape `OT1/ptm/bx/n' in size <24.88> not available
(Font)              Font shape `OT1/ptm/b/n' tried instead on input line 55.
LaTeX Font Info:    Font shape `OT1/phv/bx/n' in size <24.88> not available
(Font)              Font shape `OT1/phv/b/n' tried instead on input line 55.
LaTeX Font Info:    Font shape `OT1/phv/b/n' will be
(Font)              scaled to size 22.39185pt on input line 55.
LaTeX Font Info:    Font shape `OT1/ptm/bx/n' in size <14.4> not available
(Font)              Font shape `OT1/ptm/b/n' tried instead on input line 58.
LaTeX Font Info:    Font shape `OT1/ptm/bx/n' in size <12> not available
(Font)              Font shape `OT1/ptm/b/n' tried instead on input line 62.
LaTeX Font Info:    Font shape `OT1/ptm/bx/n' in size <10> not available
(Font)              Font shape `OT1/ptm/b/n' tried instead on input line 71.

Underfull \hbox (badness 10000) in paragraph at lines 69--102

 []

[1

{/usr/share/texmf/dvips/config/pdftex.map}]
LaTeX Font Info:    Font shape `OT1/phv/m/n' will be
(Font)              scaled to size 8.99994pt on input line 108.
LaTeX Font Info:    Try loading font information for OT1+ptmcm on input line 11
4.

(/usr/share/texmf/tex/latex/psnfss/ot1ptmcm.fd
File: ot1ptmcm.fd 2000/01/03 Fontinst v1.801 font definitions for OT1/ptmcm.
)
LaTeX Font Info:    Try loading font information for OML+ptmcm on input line 11
4.

(/usr/share/texmf/tex/latex/psnfss/omlptmcm.fd
File: omlptmcm.fd 2000/01/03 Fontinst v1.801 font definitions for OML/ptmcm.
)
LaTeX Font Info:    Try loading font information for OMX+psycm on input line 11
4.

(/usr/share/texmf/tex/latex/psnfss/omxpsycm.fd
File: omxpsycm.fd 2000/01/03 Fontinst v1.801 font definitions for OMX/psycm.
)
LaTeX Font Info:    Try loading font information for U+msa on input line 114.

(/usr/share/texmf/tex/latex/amsfonts/umsa.fd
File: umsa.fd 2002/01/19 v2.2g AMS font definitions
)
LaTeX Font Info:    Try loading font information for U+msb on input line 114.

(/usr/share/texmf/tex/latex/amsfonts/umsb.fd
File: umsb.fd 2002/01/19 v2.2g AMS font definitions
)
LaTeX Font Info:    Font shape `OT1/ptm/bx/n' in size <7.4> not available
(Font)              Font shape `OT1/ptm/b/n' tried instead on input line 114.
LaTeX Font Info:    Font shape `OT1/ptm/bx/n' in size <6> not available
(Font)              Font shape `OT1/ptm/b/n' tried instead on input line 114.


! LaTeX Error: There's no line here to end.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.116  }\\[1cm]
               
Your command was ignored.
Type  I <command> <return>  to replace it with another command,
or  <return>  to continue without it.

LaTeX Font Info:    Font shape `OMS/ptm/m/n' in size <10> not available
(Font)              Font shape `OMS/pzccm/m/n' tried instead on input line 120.


Underfull \hbox (badness 10000) in paragraph at lines 129--131

 []


! LaTeX Error: There's no line here to end.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.151  }\\[1cm]
               
Your command was ignored.
Type  I <command> <return>  to replace it with another command,
or  <return>  to continue without it.

LaTeX Font Info:    Font shape `OT1/phv/m/sl' will be
(Font)              scaled to size 7.19995pt on input line 152.
[2] (./manual.toc
LaTeX Font Info:    Font shape `OT1/ptm/bx/n' in size <10.95> not available
(Font)              Font shape `OT1/ptm/b/n' tried instead on input line 1.
LaTeX Font Info:    Font shape `OT1/ptm/bx/n' in size <8> not available
(Font)              Font shape `OT1/ptm/b/n' tried instead on input line 2.
LaTeX Font Info:    Font shape `OT1/phv/bx/n' in size <10.95> not available
(Font)              Font shape `OT1/phv/b/n' tried instead on input line 7.
LaTeX Font Info:    Font shape `OT1/phv/b/n' will be
(Font)              scaled to size 9.85492pt on input line 7.
 [3

] [4])
\tf@toc=\write8
\openout8 = `manual.toc'.

 [5]
Chapter 1.
LaTeX Font Info:    Font shape `OT1/ptm/bx/n' in size <20.74> not available
(Font)              Font shape `OT1/ptm/b/n' tried instead on input line 160.
LaTeX Font Info:    Font shape `OT1/phv/m/n' will be
(Font)              scaled to size 9.85492pt on input line 167.
[6

]
Underfull \hbox (badness 2903) in paragraph at lines 219--220
[]/ptmr7t@10.95pt/To use the /phvr7t@9.85492pt/LA-GUNA /ptmr7t@10.95pt/on-line 
help it is nec-es-sary to in-stall the /phvr7t@9.85492pt/GAP/ptmr7t@10.95pt/4 p
ack-age /phvr7t@9.85492pt/GAP-
 []


Underfull \hbox (badness 3861) in paragraph at lines 221--222
[]/phvr7t@9.85492pt/LAGUNA /ptmr7t@10.95pt/is dis-tributed in stan-dard for-mat
s (/pcrr7tn@10.95pt/zoo/ptmr7t@10.95pt/, /pcrr7tn@10.95pt/tar.gz/ptmr7t@10.95pt
/, /pcrr7tn@10.95pt/tar.bz2/ptmr7t@10.95pt/, /pcrr7tn@10.95pt/-win.zip/ptmr7t@1
0.95pt/) and
 []


Underfull \hbox (badness 1248) in paragraph at lines 221--222
/ptmr7t@10.95pt/can be ob-tained from [][]/pcrr7tn@10.95pt/http://ukrgap.expone
nta.ru/laguna.htm[][]/ptmr7t@10.95pt/. To un-pack the archive
 []

[7]
Chapter 2.
[8

] [9] [10] [11] [12] [13]
Chapter 3.
[14

]

LaTeX Warning: Command \textless invalid in math mode on input line 535.

LaTeX Font Info:    Try loading font information for OML+ptm on input line 535.

(/usr/share/texmf/tex/latex/psnfss/omlptm.fd
File: omlptm.fd 
)
LaTeX Font Info:    Font shape `OML/ptm/m/n' in size <10.95> not available
(Font)              Font shape `OML/cmm/m/it' tried instead on input line 535.


LaTeX Warning: Command \textless invalid in math mode on input line 535.

[15]
Underfull \hbox (badness 10000) in paragraph at lines 597--601
/ptmr7t@10.95pt/Thus $/zptmcmr@10.95pt/1 + /zptmcmrm@10.95pt/w[] /zptmcmr@10.95
pt/= (/zptmcmrm@10.95pt/y[]/zptmcmr@10.95pt/)[] [] (/zptmcmrm@10.95pt/y[]/zptmc
mr@10.95pt/)[](1 + /zptmcmrm@10.95pt/w[]/zptmcmr@10.95pt/)$ /ptmr7t@10.95pt/for
 some $/zptmcmrm@10.95pt/w[] /zpzccmry@10.95pt/2 /zptmcmrm@10.95pt/A[]$/ptmr7t@
10.95pt/, and so $/zptmcmr@10.95pt/1 + /zptmcmrm@10.95pt/w /zptmcmr@10.95pt/=
 []


LaTeX Warning: Command \textless invalid in math mode on input line 607.


LaTeX Warning: Command \textless invalid in math mode on input line 607.

[16] [17]
Chapter 4.

Underfull \hbox (badness 10000) in paragraph at lines 635--638

 []


Underfull \hbox (badness 10000) in paragraph at lines 656--659

 []


Underfull \hbox (badness 10000) in paragraph at lines 677--680

 []

[18

] [19] [20]
Underfull \hbox (badness 10000) in paragraph at lines 856--859

 []

[21]
Underfull \hbox (badness 10000) in paragraph at lines 964--967

 []

[22]
Underfull \hbox (badness 10000) in paragraph at lines 984--987

 []


Underfull \hbox (badness 10000) in paragraph at lines 1008--1014

 []

[23] [24]
Underfull \hbox (badness 1033) in paragraph at lines 1121--1123
[]/ptmr7t@10.95pt/Please note that for cal-cu-la-tion of the aug-men-ta-tion of
 an el-e-ment of a group ring the
 []


Underfull \hbox (badness 1286) in paragraph at lines 1121--1123
/ptmr7t@10.95pt/user is strongly rec-om-mended to use /pcrr7tn@10.95pt/Augmenta
tion /ptmr7t@10.95pt/([][]4.2.5[][][]) which works much faster than
 []

LaTeX Font Info:    Font shape `OMS/ptm/m/n' in size <10.95> not available
(Font)              Font shape `OMS/pzccm/m/n' tried instead on input line 1160
.
[25] [26]
Underfull \hbox (badness 10000) in paragraph at lines 1267--1270

 []


Underfull \hbox (badness 10000) in paragraph at lines 1288--1291

 []

[27] [28]
Underfull \hbox (badness 10000) in paragraph at lines 1405--1407
[]/ptmr7t@10.95pt/The ar-gu-ment [] is a $/zptmcmrm@10.95pt/p$/ptmr7t@10.95pt/-
modular group al-ge-bra over the field of $/zptmcmrm@10.95pt/p$ /ptmr7t@10.95pt
/el-e-ments.
 []

[29] [30] [31]
Underfull \hbox (badness 10000) in paragraph at lines 1587--1590

 []


Underfull \hbox (badness 10000) in paragraph at lines 1607--1610

 []


Underfull \hbox (badness 10000) in paragraph at lines 1627--1630

 []

[32]
Underfull \hbox (badness 2762) in paragraph at lines 1655--1656
[]/ptmr7t@10.95pt/If [] is the (nor-mal-ized) unit group of a $/zptmcmrm@10.95p
t/p$/ptmr7t@10.95pt/-modular group al-ge-bra $/zptmcmrm@10.95pt/KG$ /ptmr7t@10.
95pt/ob-tained us-
 []


Underfull \hbox (badness 10000) in paragraph at lines 1655--1656
/ptmr7t@10.95pt/ing one of the func-tions /pcrr7tn@10.95pt/Units(KG)/ptmr7t@10.
95pt/, /pcrr7tn@10.95pt/PcUnits(KG)/ptmr7t@10.95pt/, /pcrr7tn@10.95pt/Normalize
dUnitGroup(KG) /ptmr7t@10.95pt/or
 []

[33] [34]
Underfull \hbox (badness 10000) in paragraph at lines 1789--1792

 []


Underfull \hbox (badness 10000) in paragraph at lines 1811--1814

 []

[35]
Underfull \hbox (badness 10000) in paragraph at lines 1899--1902

 []

[36]
Underfull \hbox (badness 10000) in paragraph at lines 1926--1929

 []

[37] [38]
Underfull \hbox (badness 10000) in paragraph at lines 2087--2090

 []

[39]
Underfull \hbox (badness 10000) in paragraph at lines 2114--2117

 []


Underfull \hbox (badness 10000) in paragraph at lines 2141--2144

 []


Underfull \hbox (badness 10000) in paragraph at lines 2168--2171

 []

[40]
Underfull \hbox (badness 10000) in paragraph at lines 2193--2196

 []

[41]
Underfull \hbox (badness 10000) in paragraph at lines 2251--2254

 []


Underfull \hbox (badness 10000) in paragraph at lines 2279--2282

 []


Underfull \hbox (badness 10000) in paragraph at lines 2306--2309

 []

[42]
Underfull \hbox (badness 10000) in paragraph at lines 2326--2329

 []


Underfull \hbox (badness 10000) in paragraph at lines 2352--2355

 []

[43]
Underfull \hbox (badness 10000) in paragraph at lines 2382--2385

 []


Underfull \hbox (badness 10000) in paragraph at lines 2404--2407

 []

[44] [45]
Underfull \hbox (badness 10000) in paragraph at lines 2507--2510

 []


Underfull \hbox (badness 10000) in paragraph at lines 2537--2540

 []


Underfull \hbox (badness 10000) in paragraph at lines 2552--2555

 []

(./manual.bbl (./manual.brf)
\tf@brf=\write9
\openout9 = `manual.brf'.

 [46]) (./manual.ind [47

]
Overfull \hbox (72.54977pt too wide) in paragraph at lines 9--11
[]/pcrr7tn@10.95pt/AugmentationIdealOfDerivedSubgroupNilpotencyIndex/ptmr7t@10.
95pt/,
 []


Underfull \hbox (badness 10000) in paragraph at lines 92--93
[]/pcrr7tn@10.95pt/NaturalBijectionToAssociativeAlgebra/ptmr7t@10.95pt/,
 []


Overfull \hbox (5.5361pt too wide) in paragraph at lines 94--96
[]/pcrr7tn@10.95pt/NaturalBijectionToNormalizedUnitGroup/ptmr7t@10.95pt/,
 []


Overfull \hbox (16.70505pt too wide) in paragraph at lines 96--98
[]/pcrr7tn@10.95pt/NaturalBijectionToPcNormalizedUnitGroup/ptmr7t@10.95pt/,
 []

[48

] [49

]) (./manual.aux)

LaTeX Warning: There were multiply-defined labels.

 ) 
Here is how much of TeX's memory you used:
 3729 strings out of 95437
 50567 string characters out of 1188126
 105058 words of memory out of 1000001
 6504 multiletter control sequences out of 10000+50000
 66369 words of font info for 129 fonts, out of 500000 for 1000
 14 hyphenation exceptions out of 1000
 27i,7n,30p,732b,493s stack positions out of 1500i,500n,5000p,200000b,5000s
 619 PDF objects out of 300000
 156 named destinations out of 131072
 16 words of extra memory for PDF output out of 65536
</usr/share/texmf/fonts/type1/bluesky/symbols/msam10.pfb></usr/share/texmf/fo
nts/type1/bluesky/cm/cmex10.pfb>{/usr/share/texmf/dvips/tetex/aae443f0.enc}</us
r/share/texmf/fonts/type1/bluesky/cm/cmmi10.pfb>{/usr/share/texmf/dvips/tetex/f
7b6d320.enc}</usr/share/texmf/fonts/type1/bluesky/cm/cmr10.pfb>{/usr/share/texm
f/dvips/tetex/bbad153f.enc}</usr/share/texmf/fonts/type1/bluesky/cm/cmsy10.pfb>
{/usr/share/texmf/dvips/psnfss/8r.enc}</usr/share/texmf/fonts/type1/urw/courier
/ucrr8a.pfb>
Output written on manual.pdf (49 pages, 249119 bytes).
