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arXiv · 1610.00095

On cohomology of saturated fusion systems and support varieties

Abstract

In this short note we study the cohomology algebra of saturated fusion systems using finite groups which realize saturated fusion systems and Hochschild cohomology of group algebras. A similar result to a theorem of Alperin is proved for varieties of cohomology algebras of fusions systems associated to block algebras of finite groups.

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Constantin-Cosmin Todea. 2016-10-01. On cohomology of saturated fusion systems and support varieties. https://arxiv.org/abs/1610.00095

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