The uniqueness of $PS{U}_3(8)$ in the Monster

Abstract

As a contribution to an eventual solution of the problem of determination of the maximal subgroups of the Monster we show that there is a unique conjugacy class of subgroups isomorphic to $PS{U}_3(8)$. The argument depends on some computations in various subgroups, but not on computations in the Monster itself.

References in corpus (1)

• Classification of subgroups isomorphic to PSL_2(27) in the Monster

Cited by in corpus (1)

• The maximal subgroups of the Monster