Maximal subgroups of sporadic groups

Abstract

A systematic study of maximal subgroups of the sporadic simple groups began in the 1960s. The work is now almost complete, only a few cases in the Monster remaining outstanding. We give a survey of results obtained, and methods used, over the past 50 years, for the classification of maximal subgroups of sporadic simple groups, and their automorphism groups.

To appear in Proceedings of the Princeton Conference, November 2015, AMS Contemporary Mathematics series. Version 2 with a minor correction to the last table