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Bibliographic Details
Main Author:	Oliver, Robert 1949- (Author)
Format:	Book
Language:	English
Published:	Cambridge [u.a.] Cambridge Univ. Pr. 1988
Edition:	1. publ.
Series:	London Mathematical Society: London Mathematical Society lecture note series 132
Subjects:	Teoria dos grupos Finite groups Induction (Mathematics) Whitehead groups Whitehead-Gruppe Endliche Gruppe
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000500527&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Item Description:	Includes bibliography and index. - Hier auch später erschienene, unveränderte Nachdrucke
Physical Description:	349 S.
ISBN:	0521336465 9780521336468

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MARC


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Record in the Search Index

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adam_text	CONTENTS Introduction 1 Historical survey 3 Algorithms for describing Wh(G) 4 Survey of computations 14 Part I General theory 20 Chapter 1. Basic algebraic background 21 la. Orders in semisimple algebras 21 lb. P adic completion 27 lc. Semi local rings and the Jacobson radical 32 Id. Bimodule induced homomorphisms and Morita equivalence 37 Chapter 2. Structure theorems for Kj of orders 40 2a. Applications of the reduced norm 40 2b. Logarithmic and exponential maps in p adic orders 50 Chapter 3. Continuous K2 and localization sequences 63 3a. Steinberg symbols in K2(R) 64 3b. Continuous K2 of p adic orders and algebras 70 3c. Localization sequences for torsion in Whitehead groups 73 Chapter 4. The congruence subgroup problem 90 4a. Symbols in K2 of p adic fields 91 4b. Continuous K2 of simple 8p algebras 100 4c. The calculation of C(«[G]) 115 Chapter 5 First applications of the congruence subgroup problem 127 5a. Constructing and detecting elements in SKt: an example 127 5b. Clt(R[G]) and the complex representation ring 134 5c. The standard involution on Whitehead groups 148 Chapter 6. The integral p adic logarithm 153 6a. The integral logarithm for p adic group rings 153 6b. Variants of the integral logarithm 166 6c. Logarithms defined on K2(2P[G]) 168 Part II Group rings of p groups 172 Chapter 7. The torsion subgroup of Whitehead groups 173 Chapter 8. The p adic quotient of SK!(Z[G]): p groups 183 8a. Detection of elements 183 8b. Establishing upper bounds 191 8c. Examples 200 Chapter 9. C1,(Z[G]) for p groups 205 Chapter 10. The torsion free part of Wh(G) 229 Part III General finite groups 243 Chapter 11. A quick survey of induction theory 245 lla. Induction properties for Mackey functors and Green modules 246 lib. Splitting p local Mackey functors 254 Chapter 12. The p adic quotient of SKi(Z[G]): finite groups 272 Chapter 13. Cli(Z[G]) for finite groups 291 13a. Reduction to p elementary groups 291 13b. Reduction to p groups 305 13c. Splitting the inclusion C1,(Z[G]) C SKi(Z[G]) 322 Chapter 14. Examples 328 References 340 Index 348
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author	Oliver, Robert 1949-
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indexdate	2024-12-20T07:26:53Z
institution	BVB
isbn	0521336465 9780521336468
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-000500527
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physical	349 S.
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publishDate	1988
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publisher	Cambridge Univ. Pr.
record_format	marc
series	London Mathematical Society: London Mathematical Society lecture note series
series2	London Mathematical Society: London Mathematical Society lecture note series
spellingShingle	Oliver, Robert 1949- Whitehead groups of finite groups London Mathematical Society: London Mathematical Society lecture note series Teoria dos grupos larpcal Finite groups Induction (Mathematics) Whitehead groups Whitehead-Gruppe (DE-588)4189790-0 gnd Endliche Gruppe (DE-588)4014651-0 gnd
subject_GND	(DE-588)4189790-0 (DE-588)4014651-0
title	Whitehead groups of finite groups
title_auth	Whitehead groups of finite groups
title_exact_search	Whitehead groups of finite groups
title_full	Whitehead groups of finite groups
title_fullStr	Whitehead groups of finite groups
title_full_unstemmed	Whitehead groups of finite groups
title_short	Whitehead groups of finite groups
title_sort	whitehead groups of finite groups
topic	Teoria dos grupos larpcal Finite groups Induction (Mathematics) Whitehead groups Whitehead-Gruppe (DE-588)4189790-0 gnd Endliche Gruppe (DE-588)4014651-0 gnd
topic_facet	Teoria dos grupos Finite groups Induction (Mathematics) Whitehead groups Whitehead-Gruppe Endliche Gruppe
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000500527&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000000130
work_keys_str_mv	AT oliverrobert whiteheadgroupsoffinitegroups

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