Abstract

We prove that non-trivial representations of the alternating group ${\mathsf A}_n$ are reducible over a primitive proper subgroup which is isomorphic to some alternating group ${\mathsf A}_m$. A similar result is established for finite simple classical groups embedded in ${\mathsf A}_n$ via their standard rank $3$ permutation representations.

pdf

Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 1383-1423
Launched on MUSE
2016-09-27
Open Access
No
Back To Top

This website uses cookies to ensure you get the best experience on our website. Without cookies your experience may not be seamless.