On cohomology of saturated fusion systems and support varieties

2016/10/01 by Constantin-Cosmin Todea, Todea, Constantin-Cosmin
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Group Theory (math.GR) #K-Theory and Homology (math.KT)

paper · pdf · doi:10.48550/arxiv.1610.00095

openalex publication_date 2016/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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