Nontriviality of the first Hochschild cohomology of some block algebras of finite groups

2022/06/18 by Todea, C. -C. · 1 citation
#16E40 #FOS: Mathematics #Group Theory (math.GR) #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.2206.09108

Abstract

We show that for some finite group block algebras, with nontrivial defect groups, the first Hochschild cohomology is nontrivial. Along the way we obtain methods to investigate the nontriviality of the first Hochschild cohomology of some twisted group algebras.

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• Derivation over twisted group ring and its applications

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