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The Centralizer of a subgroup in a group algebra

Danz, Susanne and Ellers, Harald and Murray, John (2010) The Centralizer of a subgroup in a group algebra. Proceedings of the Edinburgh Mathematical Society. ISSN 1464-3839 (Unpublished)

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Abstract

If R is a commutative ring, G is a nite group, and H is a subgroup of G, then the centralizer algebra RGH is the set of all elements of RG that commute with all elements of H. The algebra RGH is a Hecke algebra in the sense that it is isomorphic to EndRHG(RG) = EndRHG(1H HG). The authors have been studying the representation theory of these algebras in several recent and not so recent papers [4], [5], [6], [7], [10], [11], mainly in cases where G is p-solvable and H is normal, or when G = Sn and H = Sm for n

Item Type: Article
Keywords: Centralizer; subgroup; group algebra;
Subjects: Science & Engineering > Mathematics & Statistics
Item ID: 2059
Depositing User: Dr. John Murray
Date Deposited: 20 Jul 2010 15:58
Journal or Publication Title: Proceedings of the Edinburgh Mathematical Society
Publisher: Cambridge University Press
Refereed: No
URI:

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