Cargando…
Whitehead groups of finite groups /
This book's aim is to make accessible techniques for studying Whitehead groups of finite groups, as well as a variety of related topics such as induction theory and p-adic logarithms. The author has included a lengthy introduction to set the scene for non-specialists who want an overview of the...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge [Cambridgeshire] ; New York :
Cambridge University Press,
1988.
|
| Colección: | London Mathematical Society lecture note series ;
132. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | EBSCO_ocn839304956 | ||
| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 130415s1988 enk ob 001 0 eng d | ||
| 040 | |a N$T |b eng |e pn |c N$T |d E7B |d IDEBK |d OCLCF |d YDXCP |d OCLCQ |d AGLDB |d OCLCQ |d HEBIS |d OCLCO |d UAB |d OCLCQ |d VTS |d OCLCA |d REC |d OCLCO |d STF |d AU@ |d OCLCO |d M8D |d OCLCO |d SFB |d OCLCQ |d OCLCO |d OCLCQ | ||
| 019 | |a 704520637 | ||
| 020 | |a 9781107361355 |q (electronic bk.) | ||
| 020 | |a 1107361354 |q (electronic bk.) | ||
| 020 | |a 9780511600654 |q (e-book) | ||
| 020 | |a 0511600658 |q (e-book) | ||
| 020 | |z 0521336465 | ||
| 020 | |z 9780521336468 | ||
| 029 | 1 | |a DEBBG |b BV043069989 | |
| 029 | 1 | |a DEBSZ |b 421267291 | |
| 029 | 1 | |a GBVCP |b 80455871X | |
| 035 | |a (OCoLC)839304956 |z (OCoLC)704520637 | ||
| 050 | 4 | |a QA171 |b .O44 1988eb | |
| 072 | 7 | |a MAT |x 014000 |2 bisacsh | |
| 082 | 0 | 4 | |a 512/.22 |2 22 |
| 084 | |a PB 09 |2 blsrissc | ||
| 084 | |a *18-02 |2 msc | ||
| 084 | |a 16-02 |2 msc | ||
| 084 | |a 16E20 |2 msc | ||
| 084 | |a 16H05 |2 msc | ||
| 084 | |a 16S34 |2 msc | ||
| 084 | |a 18F25 |2 msc | ||
| 084 | |a 20-02 |2 msc | ||
| 084 | |a 20C05 |2 msc | ||
| 084 | |a 20D15 |2 msc | ||
| 049 | |a UAMI | ||
| 100 | 1 | |a Oliver, Robert, |d 1949- | |
| 245 | 1 | 0 | |a Whitehead groups of finite groups / |c Robert Oliver. |
| 260 | |a Cambridge [Cambridgeshire] ; |a New York : |b Cambridge University Press, |c 1988. | ||
| 300 | |a 1 online resource (349 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series ; |v 132 | |
| 504 | |a Includes bibliographical references (pages 340-347) and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a This book's aim is to make accessible techniques for studying Whitehead groups of finite groups, as well as a variety of related topics such as induction theory and p-adic logarithms. The author has included a lengthy introduction to set the scene for non-specialists who want an overview of the field, its history and its applications. The rest of the book consists of three parts: general theory, group rings of p-groups and general finite groups. The book will be welcomed by specialists in K- and L-theory and by algebraists in general as a state-of-the art survey of the area. | ||
| 505 | 0 | |a Cover; Title; Copyright; Preface; List of notation; Contents; Introduction; Historical survey; Algorithms for describing Wh(G); Survey of computations; Part I General theory; Chapter 1. Basic algebraic background; 1a. Orders in semi simple algebras; 1b. P-adic completion; 1c. Semi local rings and the Jacobson radical; 1d. Bimodule-induced homomorphisms and Morita equivalence; Chapter 2. Structure theorems for Ki of orders; 2a. Applications of the reduced norm; 2b. Logarithmic and exponential maps in p-adic orders; Chapter 3. Continuous K2 and localization sequences | |
| 505 | 8 | |a 3a. Steinberg symbols in K2(R)3b. Continuous K2 of p-adic orders and algebras; 3c. Localization sequences for torsion in Whitehead groups; Chapter 4. The congruence subgroup problem; 4a. Symbols in K2 of p-adic fields; 4b. Continuous K2 of simple Qp-algebras; 4c. The calculation of C(Q[G]); Chapter 5 First applications of the congruence subgroup problem; 5a. Constructing and detecting elements in SKi: an example; 5b. Cl1(R[G]) and the complex representation ring; 5c. The standard involution on Whitehead groups; Chapter 6. The integral p-adic logarithm | |
| 505 | 8 | |a 6a. The integral logarithm for p-adic group rings6b. Variants of the integral logarithm; 6c. Logarithms defined on Kc2(ZP[G]); Part II Group rings of p-groups; Chapter 7. The torsion subgroup of Whitehead groups; Chapter 8. The p-adic quotient of SK1(Z[G]): p-groups; 8a. Detection of elements; 8b. Establishing upper bounds; 8c. Examples; Chapter 9. Cl1(Z[G]) for p-groups; Chapter 10. The torsion free part of Wh(G); Part III General finite groups; Chapter 11. A quick survey of induction theory; 11a. Induction properties for Mackey functors and Green modules | |
| 505 | 8 | |a 11b. Splitting p-local Mackey functorsChapter 12. The p-adic quotient of SK1(Z[G]): finite groups; Chapter 13. Cl1(Z[G]) for finite groups; 13a. Reduction to p-elementary groups; 13b. Reduction to p-groups; 13c. Splitting the inclusion Cl1(Z[G]) C SK1(Z[G]); Chapter 14. Examples; References; Index | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Whitehead groups. | |
| 650 | 0 | |a Finite groups. | |
| 650 | 0 | |a Induction (Mathematics) | |
| 650 | 6 | |a Groupes de Whitehead. | |
| 650 | 6 | |a Groupes finis. | |
| 650 | 6 | |a Induction (Mathématiques) | |
| 650 | 7 | |a MATHEMATICS |x Group Theory. |2 bisacsh | |
| 650 | 7 | |a Finite groups. |2 fast |0 (OCoLC)fst00924908 | |
| 650 | 7 | |a Induction (Mathematics) |2 fast |0 (OCoLC)fst00970742 | |
| 650 | 7 | |a Whitehead groups. |2 fast |0 (OCoLC)fst01174810 | |
| 650 | 7 | |a Whitehead-Gruppe |2 gnd | |
| 650 | 7 | |a Endliche Gruppe |2 gnd | |
| 650 | 7 | |a Teoria dos grupos. |2 larpcal | |
| 650 | 7 | |a Groupes finis. |2 ram | |
| 650 | 7 | |a Whitehead, Groupes de. |2 ram | |
| 650 | 7 | |a Induction (mathématiques) |2 ram | |
| 776 | 0 | 8 | |i Print version: |a Oliver, Robert, 1949- |t Whitehead groups of finite groups. |d Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1988 |z 0521336465 |w (DLC) 87027725 |w (OCoLC)16805916 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 132. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552396 |z Texto completo |
| 938 | |a ebrary |b EBRY |n ebr10441002 | ||
| 938 | |a EBSCOhost |b EBSC |n 552396 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n cis25154502 | ||
| 938 | |a YBP Library Services |b YANK |n 10407389 | ||
| 994 | |a 92 |b IZTAP | ||