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The Nonvanishing First Hochschild Cohomology of Twisted Finite Simple Group Algebras

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Abstract

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.

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  1. Department of Mathematics, City, University of London, London, England

    William Murphy

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  1. William Murphy
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Presented by: Andrew Mathas

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Murphy, W. The Nonvanishing First Hochschild Cohomology of Twisted Finite Simple Group Algebras. Algebr Represent Theor 26, 2801–2818 (2023). https://doi.org/10.1007/s10468-022-10195-6

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