On maximal embeddings of finite quasisimple groups

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.

Corrected the omission of the two series of exceptions involving the Ree groups; added a remark on the maximality of the intermediate subgroups in the exceptional cases