Abstract
We prove that non-trivial representations of the alternating group An are reducible over a primitive proper subgroup which is isomorphic to some alternating group Am. A similar result is established for finite simple classical groups embedded in An via their standard rank 3 permutation representations.
Original language | English (US) |
---|---|
Pages (from-to) | 1383-1423 |
Number of pages | 41 |
Journal | American Journal of Mathematics |
Volume | 138 |
Issue number | 5 |
DOIs | |
State | Published - Oct 2016 |
ASJC Scopus subject areas
- Mathematics(all)