Robert Oliver

Whitehead Groups of Finite Groups (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 25. Februar 1988
• Englisch
• ISBN-13: 9780511892257
• Artikelnr.: 38190346

Autorenporträt

Robert W. Oliver II is a senior developer and DevOps consultant with over two decades of experience in the field. A truly full-stack programmer, Robert has architected both front-end and back-end systems and designed algorithms used in technologies operating at scales ranging from small to enterprise. With decades of experience working in Python, PHP, Ruby on Rails, JavaScript, C/C++, Rust, and C#, he is fluent in the languages of programming and system design.

Inhaltsangabe

Part I. General Theory: 1. Basic algebraic background
2. Structure theorems for K, of orders
3. Continuous K2 and localization sequences
4. The congruence subgroup problem
5. First applications of the congruence subgroup problem
6. The integral p-adic logarithm
Part II. Group rings of p-groups: 7. The torsion subgroup of Whitehead groups
Chapter 8. The p-adic quotient of SK,(Z[G]): p-groups
9. Cl1(Z[C]) for p-groups
10. The torsion free part of Wh(G)
Part III. General finite groups: 11. A quick survey of induction theory
12. The p-adic quotient of SK1(Z[G]): finite groups
13. CI1(Z[G]) for finite groups
14. Examples.