Sinossi
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 .
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
I Some general facts.- II Some notes on representation theory.- III The leading coefficient of units.- IV Class sum correspondence.- V More on the class sum correspondence.- VI Subgroup rigidity.- VII Global units.- VIII Locally isomorphic group rings.- IX Zassenhaus conjecture.- X Variations of the Zassenhaus conjecture.- XI Group Extensions.- XII Class sums of p-elements.- XIII Clifford theory revisited.- XIV Examples.- I Introduction and Review of the Tame Case.- II Hopf Orders.- III Principal Hornogeneous Spaces.- IV Arithmetic Applications:- The Cyclotomic Case.- V Arithmetic Applications:- The Elliptic Case.- References.
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Group Rings and Class Groups (DMV Seminar, Band 18)
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Group Rings and Class Groups.
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Paperback. Condizione: new. Paperback. 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 . 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 A 1 Ring reduction to PID . 7 A 2 Modules . . 7 II Some notes on representation theory 9 A1 Blocks . . 9 A2 Normalizers of p-Sylow subgroups of group bases 11 A3 Cohomology rings 12 Profinite groups . . . . . . . . . 13 A4 III The leading coefficient of units 15 IV Class sum correspondence . . . . . . . . . . . . . . Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9783764327347
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Group rings and class groups (DMV Seminar, Bd.18).
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Group rings and class groups Klaus W. Roggenkamp, Martin J. Taylor. DMV Seminar 18.
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Group rings and class groups Klaus W. Roggenkamp, Martin J. Taylor. DMV Seminar 18.
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Group rings and class groups. Seminar : Papers.
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Taschenbuch. Condizione: Neu. 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 . 220 pp. Englisch. Codice articolo 9783764327347
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