On cohomology of saturated fusion systems and support varieties
classification
🧮 math.GR
math.KT
keywords
cohomologysystemsalgebrasfusionsaturatedfinitegroupsvarieties
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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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