The Nonvanishing First Hochschild Cohomology of Twisted Finite Simple Group Algebras

被引：0

作者：

William Murphy

机构：

[1] City,Department of Mathematics

[2] University of London,undefined

来源：

Algebras and Representation Theory | 2023年 / 26卷

关键词：

Hochschild cohomology; Twisted group algebras; Finite simple groups; 20C20;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let G be a finite simple group and k be an algebraically closed field of prime characteristic dividing the order of G. We show that for all 2-cocycles α ∈ Z2(G;k×), the first Hochschild cohomology group of the twisted group algebra HH1(kαG) is nonzero.

引用

页码：2801 / 2818

页数：17

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