We study irreducible restrictions from modules over alternating groups to proper subgroups, and prove reduction results which substantially restrict the classes of subgroups and modules for which this is possible. This problem had been solved when the characteristic of the ground ﬁeld is greater than 3, but the small characteristics cases require a substantially more delicate analysis and new ideas. This work ﬁts into the Aschbacher-Scott program on maximal subgroups of ﬁnite classical groups.
ASJC Scopus subject areas
- Mathematics (miscellaneous)