Group Rings and Class Groups

K. W. Roggenkamp

ISBN 10: 3764327340 / ISBN 13: 9783764327347

Published by Birkhäuser, Birkhäuser, 1992

About this Item

Druck auf Anfrage Neuware - Printed after ordering - These notes form an extended version of talks given at the DMV-seminar in Giinzburg, September 1990. The seminar consisted of two parts: 1) 'The isomorphism problem for integral group rings', with the main talks given by K. W. Roggenkamp and shorter contributions by W.Kimmerle, J.llitter and A. Zimmermann (Part 1). 2) 'Galois-Module structure', with the main talks given by M.Taylor and shorter contributions by N.Byott (Part 2). We greatly appreciate the opportunity, given us by the DMV to hold this seminar. DMV-Seminar Part 1 Group Rings: Units and the Isomorphism Problem K. W. Roggenkamp with contributions by W. Kimmerle and A. Zimmermann Contents 3 Table of Contents I Some general facts . 7 1 Ring reduction to PID . 7 2 Modules . . 7 II Some notes on representation theory 9 1 Blocks . . 9 2 Normalizers of p-Sylow subgroups of group bases 11 3 Cohomology rings 12 Profinite groups . . . . . . . . . 13 4 III The leading coefficient of units 15 IV Class sum correspondence . . . . . . . . . . . . . . . 21 .

Seller Inventory # 9783764327347

Bibliographic Details

• Title: Group Rings and Class Groups
• Publisher: Birkhäuser, Birkhäuser
• Publication Date: 1992
• Language: English
• ISBN 10: 3764327340
• ISBN 13: 9783764327347
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 244W x 170H x 13D millimeters 244 millimeters width by 170 millimeters height by 13 millimeters depth
• Weight: 389 grams

About this title

Synopsis

These notes form an extended version of talks given at the DMV-seminar in Giinzburg, September 1990. The seminar consisted of two parts: 1) "The isomorphism problem for integral group rings", with the main talks given by K. W. Roggenkamp and shorter contributions by W.Kimmerle, J.llitter and A. Zimmermann (Part 1). 2) "Galois-Module structure", with the main talks given by M.Taylor and shorter contributions by N.Byott (Part 2). We greatly appreciate the opportunity, given us by the DMV to hold this seminar. DMV-Seminar Part 1 Group Rings: Units and the Isomorphism Problem K. W. Roggenkamp with contributions by W. Kimmerle and A. Zimmermann Contents 3 Table of Contents I Some general facts ... 7 § 1 Ring reduction to PID . 7 § 2 Modules ........ . 7 II Some notes on representation theory 9 §1 Blocks .................. . 9 §2 Normalizers of p-Sylow subgroups of group bases 11 §3 Cohomology rings 12 Profinite groups .. . . . . . . . . 13 §4 III The leading coefficient of units 15 IV Class sum correspondence ... . . . . . . . . . . . .. . . 21 .