On Picard groups of blocks with normal defect groups

2019/07/29 by Livesey, Michael · 2 citations
#20C20 (Primary) 16D90 (Secondary) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1907.12167

Abstract

Let b be a block with normal abelian defect group and abelian inertial quotient. We prove that every Morita auto-equivalence of b has linear source. We note that this improves upon results of Zhou and also Boltje, Kessar and Linckelmann.

Cited by

• A recognition theorem for permutation modules over p-groups extending Weiss' Theorem
• Permutation modules over cyclic p-groups

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