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arXiv · 1812.11517

The Hochschild cohomology of the group $G^2_3$

Hassan AlHussein·Pavel Kolesnikov
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Abstract

We apply discrete algebraic Morse theory to calculate the Anick resolution of the group algebra of the group $G_3^2$. As a corollary, we evaluate Hochschild cohomologies of $G_3^2$ with coefficients in all 1-dimensional bimodules. Almost all these groups are trivial, the only exceptions are 1-dimensional $H^2$ for two particular 1-dimensional bimodules.

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BibTeXRIS

Hassan AlHussein, Pavel Kolesnikov. 2018-12-30. The Hochschild cohomology of the group $G^2_3$. https://arxiv.org/abs/1812.11517

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