#### Vol. 313, No. 1, 2021

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On the BV structure of the Hochschild cohomology of finite group algebras

### Dave Benson, Radha Kessar and Markus Linckelmann

Vol. 313 (2021), No. 1, 1–44
DOI: 10.2140/pjm.2021.313.1
##### Abstract

We give a simple algebraic recipe for calculating the components of the BV operator $\Delta$ on the Hochschild cohomology of a finite group algebra with respect to the centraliser decomposition. We use this to investigate properties of $\Delta$ and to make some computations for some particular finite groups.

##### Keywords
BV operator, Hochschild Cohomology, Finite group algebras
##### Mathematical Subject Classification
Primary: 16E40, 20C20