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Nontriviality of the first Hochschild cohomology of some block algebras of finite groups
Affiliation:Department of Mathematics, Technical University of Cluj-Napoca, Str. G. Baritiu 25, Cluj-Napoca 400027, Romania
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.
Keywords:Block algebras  Defect groups  Hochschild  Finite groups  Cohomology
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