On maximal embeddings of finite quasisimple groups

2019/10/31 by Hiss, Gerhard
#20C33 #20C34 #20D06 #20D08 #20E28 (Primary) 20C30 #20G40 (Secondary) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1910.14300

Abstract

If a finite quasisimple group G with simple quotient S is embedded into a suitable classical group X through the smallest degree of a projective representation of S, then the normalizer of G in X is a maximal subgroup of X, up to two series of exceptions where S is a Ree group, and four exceptions where S is sporadic.

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