Holdings: Profinite groups :: THWS Bibkatalog

Profinite groups:

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Bibliographic Details
Main Authors:	Ribes, Luis (Author), Zalesskij, Pavel (Author)
Format:	Book
Language:	English
Published:	Berlin ; Heidelberg Springer 2010
Edition:	Second edition
Series:	Ergebnisse der Mathematik und ihrer Grenzgebiete Folge 3 ; 40
Subjects:	Proendliche Gruppe
Online Access:	Inhaltstext Inhaltsverzeichnis
Item Description:	Literaturverzeichnis: Seite 439 - 449 Hier auch später erschienene, unveränderte Nachdrucke
Physical Description:	XVI, 464 Seiten
ISBN:	9783642016417 9783642262654

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MARC


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Record in the Search Index

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adam_text	TABLE OF CONTENTS PREFACE TO THE SECOND EDITION VII PREFACE TO THE FIRST EDITION IX 1 INVERSE AND DIRECT LIMITS 1.1 INVERSE OR PROJECTIVE LIMITS 1 1.2 DIRECT OR INDUCTIVE LIMITS 14 1.3 NOTES, COMMENTS AND FURTHER READING 18 2 PROFINITE GROUPS 2.1 PRO-C GROUPS 19 2.2 BASIC PROPERTIES OF PRO-C GROUPS 28 EXISTENCE OF SECTIONS 29 EXACTNESS OF INVERSE LIMITS OF PROFINITE GROUPS 31 2.3 THE ORDER OF A PROFINITE GROUP AND SYLOW SUBGROUPS 32 2.4 GENERATORS 42 2.5 FINITELY GENERATED PROFINITE GROUPS 44 2.6 GENERATORS AND CHAINS OF SUBGROUPS 47 2.7 PROCYCLIC GROUPS 51 2.8 THE FRATTINI SUBGROUP OF A PROFINITE GROUP 52 2.9 PONTRYAGIN DUALITY FOR PROFINITE GROUPS 58 2.10 PULLBACKS AND PUSHOUTS 66 2.11 PROFINITE GROUPS AS GALOIS GROUPS 68 2.12 NOTES, COMMENTS AND FURTHER READING 72 ANALYTIC PRO-P GROUPS 73 NUMBER OF GENERATORS OF A GROUP AND OF ITS PROFINITE COMPLETION 74 3 FREE PROFINITE GROUPS 3.1 PROFINITE TOPOLOGIES 75 3.2 THE PRO-C COMPLETION 78 THE COMPLETION FUNCTOR 81 3.3 FREE PRO-C GROUPS 85 FREE PRO-C GROUP ON A SET CONVERGING TO 1 88 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1000031160 DIGITALISIERT DURCH XIV TABLE OF CONTENTS 3.4 MAXIMAL PRO-C QUOTIENT GROUPS 96 3.5 CHARACTERIZATION OF FREE PRO-C GROUPS 98 3.6 OPEN SUBGROUPS OF FREE PRO-C GROUPS 113 3.7 NOTES, COMMENTS AND FURTHER READING 116 A PROBLEM OF GROTHENDIECK ON COMPLETIONS 117 4 SOME SPECIAL PROFINITE GROUPS 4.1 POWERS OF ELEMENTS WITH EXPONENTS FROM Z 119 4.2 SUBGROUPS OF FINITE INDEX IN A PROFINITE GROUP 120 4.3 PROFINITE ABELIAN GROUPS 129 4.4 AUTOMORPHISM GROUP OF A PROFINITE GROUP 132 4.5 AUTOMORPHISM GROUP OF A FREE PRO-P GROUP 137 4.6 PROFINITE FROBENIUS GROUPS 142 4.7 TORSION IN THE PROFINITE COMPLETION OF A GROUP 148 4.8 NOTES, COMMENTS AND FURTHER READING 154 PROFINITE TORSION GROUPS 156 NORMAL AUTOMORPHISMS 157 5 DISCRETE AND PROFINITE MODULES 5.1 PROFINITE RINGS AND MODULES 159 DUALITY BETWEEN DISCRETE AND PROFINITE MODULES 165 5.2 FREE PROFINITE MODULES 166 5.3 G-MODULES AND COMPLETE GROUP ALGEBRAS 169 THE COMPLETE GROUP ALGEBRA 170 5.4 PROJECTIVE AND INJECTIVE MODULES 172 5.5 COMPLETE TENSOR PRODUCTS 177 5.6 PROFINITE G-SPACES 180 5.7 FREE PROFINITE [EG]-MODULES 189 5.8 DIAGONAL ACTIONS 190 5.9 NOTES, COMMENTS AND FURTHER READING 193 THE MAGNUS ALGEBRA AND FREE PRO-P GROUPS 193 6 HOMOLOGY AND COHOMOLOGY OF PROFINITE GROUPS 6.1 REVIEW OF HOMOLOGICAL ALGEBRA 195 RIGHT AND LEFT DERIVED FUNCTORS 199 BIFUNCTOR TABLE OF CONTENTS XV 6.6 H N (G, A) AS DERIVED FUNCTORS ON DMOD(G) 220 6.7 SPECIAL MAPPINGS 224 THE RESTRICTION MAP IN COHOMOLOGY 224 THE CORESTRICTION MAP IN COHOMOLOGY 225 THE CORESTRICTION MAP IN HOMOLOGY 229 THE RESTRICTION MAP IN HOMOLOGY 229 6.8 HOMOLOGY AND COHOMOLOGY GROUPS IN LOW DIMENSIONS 231 H 2 (G, A) AND EXTENSIONS OF PROFINITE GROUPS 233 6.9 EXTENSIONS OF PROFINITE GROUPS WITH ABELIAN KERNEL 238 6.10 INDUCED AND COINDUCED MODULES 242 6.11 THE INDUCED MODULE INDG(S) FOR H OPEN 247 6.12 NOTES, COMMENTS AND FURTHER READING 249 COHOMOLOGICAL DIMENSION 7.1 BASIC PROPERTIES OF DIMENSION 251 7.2 THE LYNDON-HOCHSCHILD-SERRE SPECTRAL SEQUENCE 256 7.3 COHOMOLOGICAL DIMENSION OF SUBGROUPS 261 7.4 COHOMOLOGICAL DIMENSION OF NORMAL SUBGROUPS AND QUOTIENTS 266 7.5 GROUPS G WITH CD P (G) 1 268 7.6 PROJECTIVE PROFINITE GROUPS 271 7.7 FREE PRO-P GROUPS AND COHOMOLOGICAL DIMENSION 275 7.8 GENERATORS AND RELATORS FOR PRO-P GROUPS 278 7.9 CUP PRODUCTS 282 7.10 NOTES, COMMENTS AND FURTHER READING 288 PRO-P GROUPS G WITH ONE DEFINING RELATOR 290 POINCARE GROUPS 290 NORMAL SUBGROUPS OF FREE PRO - C XVI TABLE OF CONTENTS 9 FREE CONSTRUCTIONS OF PROFINITE GROUPS 9.1 FREE PRO-C PRODUCTS 353 9.2 AMALGAMATED FREE PRO-C PRODUCTS 367 9.3 COHOMOLOGICAL CHARACTERIZATIONS OF AMALGAMATED PRODUCTS. 374 9.4 PRO-C HNN-EXTENSIONS 382 9.5 NOTES, COMMENTS AND FURTHER READING 388 OPEN QUESTIONS 393 APPENDIX A: SPECTRAL SEQUENCES A.I SPECTRAL SEQUENCES 397 A.2 POSITIVE SPECTRAL SEQUENCES 399 THE BASE TERMS 400 THE FIBER TERMS 400 A.3 SPECTRAL SEQUENCE OF A FILTERED COMPLEX 402 A.4 SPECTRAL SEQUENCES OF A DOUBLE COMPLEX 405 A.5 NOTES, COMMENTS AND FURTHER READING 406 APPENDIX B: A DIFFERENT CHARACTERIZATION OF FREE PROFINITE GROUPS B.I FREE VS PROJECTIVE PROFINITE GROUPS 407 B.2 NOTES, COMMENTS AND FURTHER READING 408 APPENDIX C: PRESENTATIONS OF PROFINITE GROUPS C.I PRESENTATIONS 409 C.2 RELATION MODULES 412 C.3 NOTES, COMMENTS AND FURTHER READING 416 APPENDIX D: WREATH PRODUCTS AND SOME SUBGROUP THEOREMS D.I PERMUTATIONAL WREATH PRODUCTS 419 D.2 THE NIELSEN-SCHREIER THEOREM FOR FREE PRO-C GROUPS 423 D.3 THE KUROSH SUBGROUP THEOREM FOR PROFINITE GROUPS 425 KUROSH SYSTEMS 428 D.4 SUBGROUPS OF PROJECTIVE GROUPS 432 D.5 QUASIFREE PROFINITE GROUPS 434 D.6 NOTES, COMMENTS AND FURTHER READING 438 BIBLIOGRAPHY 43
any_adam_object	1
author	Ribes, Luis Zalesskij, Pavel
author_GND	(DE-588)114075100X (DE-588)1067816542
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dewey-full	512.23
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	512 - Algebra
dewey-raw	512.23
dewey-search	512.23
dewey-sort	3512.23
dewey-tens	510 - Mathematics
discipline	Mathematik
edition	Second edition
format	Book
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id	DE-604.BV025599816
illustrated	Not Illustrated
indexdate	2024-07-20T10:34:48Z
institution	BVB
isbn	9783642016417 9783642262654
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-020195371
oclc_num	594151277
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owner	DE-11
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physical	XVI, 464 Seiten
publishDate	2010
publishDateSearch	2010
publishDateSort	2010
publisher	Springer
record_format	marc
series	Ergebnisse der Mathematik und ihrer Grenzgebiete
series2	Ergebnisse der Mathematik und ihrer Grenzgebiete : Folge 3
spelling	Ribes, Luis Verfasser (DE-588)114075100X aut Profinite groups Luis Ribes ; Pavel Zalesskii Second edition Berlin ; Heidelberg Springer 2010 © 2010 XVI, 464 Seiten txt rdacontent n rdamedia nc rdacarrier Ergebnisse der Mathematik und ihrer Grenzgebiete : Folge 3 40 Literaturverzeichnis: Seite 439 - 449 Hier auch später erschienene, unveränderte Nachdrucke Proendliche Gruppe (DE-588)4132444-4 gnd rswk-swf Proendliche Gruppe (DE-588)4132444-4 s DE-604 Zalesskij, Pavel Verfasser (DE-588)1067816542 aut Erscheint auch als Online-Ausgabe 978-3-642-01642-4 Ergebnisse der Mathematik und ihrer Grenzgebiete Folge 3 ; 40 (DE-604)BV000899194 40 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3423504&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020195371&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Ribes, Luis Zalesskij, Pavel Profinite groups Ergebnisse der Mathematik und ihrer Grenzgebiete Proendliche Gruppe (DE-588)4132444-4 gnd
subject_GND	(DE-588)4132444-4
title	Profinite groups
title_auth	Profinite groups
title_exact_search	Profinite groups
title_full	Profinite groups Luis Ribes ; Pavel Zalesskii
title_fullStr	Profinite groups Luis Ribes ; Pavel Zalesskii
title_full_unstemmed	Profinite groups Luis Ribes ; Pavel Zalesskii
title_short	Profinite groups
title_sort	profinite groups
topic	Proendliche Gruppe (DE-588)4132444-4 gnd
topic_facet	Proendliche Gruppe
url	http://deposit.dnb.de/cgi-bin/dokserv?id=3423504&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020195371&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000899194
work_keys_str_mv	AT ribesluis profinitegroups AT zalesskijpavel profinitegroups

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