Blocks with transitive fusion systems

2014/10/21 by Héthelyi, Lázló, Kessar, Radha, Külshammer, Burkhard +1
#20Cxx #Algebraic Topology (math.AT) #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1410.5705

Abstract

Suppose that all nontrivial subsections of a p-block B are conjugate (where p is a prime). By using the classification of the finite simple groups, we prove that the defect groups of B are either extraspecial of order p³ with p ∈ \3,5\ or elementary abelian.

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