Group rings of finite simple groups

  • W. Kimmerle Mathematisches Institut B, Universitãt Stuttgart

Resumo

Let G be a finite non-abelian simple group. In the first part we consider the question whether CG determines G up to isomorphism. This question is closely related to a recent conjecture of B. Huppert that G is determined up to a direct abelian factor by its set of ordinary character degrees. We sketch a proof that a finite simple group is determined by a11 its group algebras over a field.

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Kimmerle, W. (1). Group rings of finite simple groups. Resenhas Do Instituto De Matemática E Estatística Da Universidade De São Paulo, 5(4), 261-278. Recuperado de https://www.revistas.usp.br/resenhasimeusp/article/view/75099
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