Whitehead groups of finite groups:
Saved in:
| Main 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: | |
| Online Access: | Inhaltsverzeichnis |
| 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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| 100 | 1 | |a Oliver, Robert |d 1949- |e Verfasser |0 (DE-588)1015127975 |4 aut | |
| 245 | 1 | 0 | |a Whitehead groups of finite groups |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Pr. |c 1988 | |
| 300 | |a 349 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society: London Mathematical Society lecture note series |v 132 | |
| 500 | |a Includes bibliography and index. - Hier auch später erschienene, unveränderte Nachdrucke | ||
| 650 | 7 | |a Teoria dos grupos |2 larpcal | |
| 650 | 4 | |a Finite groups | |
| 650 | 4 | |a Induction (Mathematics) | |
| 650 | 4 | |a Whitehead groups | |
| 650 | 0 | 7 | |a Whitehead-Gruppe |0 (DE-588)4189790-0 |2 gnd |9 rswk-swf |
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Record in the Search Index
| _version_ | 1804115250328371200 |
|---|---|
| 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
|
| any_adam_object | 1 |
| author | Oliver, Robert 1949- |
| author_GND | (DE-588)1015127975 |
| author_facet | Oliver, Robert 1949- |
| author_role | aut |
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| callnumber-first | Q - Science |
| callnumber-label | QA171 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 320 SK 260 |
| ctrlnum | (OCoLC)16805916 (DE-599)BVBBV000798901 |
| dewey-full | 512/.22 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.22 |
| dewey-search | 512/.22 |
| dewey-sort | 3512 222 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV000798901 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:19:38Z |
| institution | BVB |
| isbn | 0521336465 9780521336468 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000500527 |
| oclc_num | 16805916 |
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| physical | 349 S. |
| psigel | TUB-www |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| 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 |
| spelling | Oliver, Robert 1949- Verfasser (DE-588)1015127975 aut Whitehead groups of finite groups 1. publ. Cambridge [u.a.] Cambridge Univ. Pr. 1988 349 S. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society: London Mathematical Society lecture note series 132 Includes bibliography and index. - Hier auch später erschienene, unveränderte Nachdrucke Teoria dos grupos larpcal Finite groups Induction (Mathematics) Whitehead groups Whitehead-Gruppe (DE-588)4189790-0 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 gnd rswk-swf Whitehead-Gruppe (DE-588)4189790-0 s Endliche Gruppe (DE-588)4014651-0 s DE-604 London Mathematical Society: London Mathematical Society lecture note series 132 (DE-604)BV000000130 132 HBZ Datenaustausch application/pdf 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 Inhaltsverzeichnis |
| 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 |