Group Rings and Class Groups

K. W. Roggenkamp

ISBN 10: 3764327340 / ISBN 13: 9783764327347

Verlag: Springer, Berlin, Birkhäuser Basel, Birkhäuser Mrz 1992, 1992

Beschreibung

This item is printed on demand - it takes 3-4 days longer - Neuware -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 . 210 pp. Englisch.

Bestandsnummer des Verkäufers 9783764327347

Bibliografische Details

• Titel: Group Rings and Class Groups
• Verlag: Springer, Berlin, Birkhäuser Basel, Birkhäuser Mrz 1992
• Erscheinungsjahr: 1992
• Sprache: Englisch
• ISBN-10: 3764327340
• ISBN-13: 9783764327347
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 241B x 171 H x 16 T Millimeter Breite: 241 mm, Höhe: 171 mm, Tiefe: 16 mm
• Gewicht: 430 Gramm

Über diesen Titel

Inhaltsangabe

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 .