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math.RT2014
Representations of the alternating group which are irreducible over subgroups. II
Alexander Kleshchev, Peter Sin, Pham Huu Tiep
We prove that non-trivial representations of the alternating group are reducible over a primitive proper subgroup which is isomorphic to some alternating group .
math.RT2014★ 3 cited
Adequate subgroups and indecomposable modules
Robert Guralnick, Florian Herzig, Pham Huu Tiep
The notion of adequate subgroups was introduced by Jack Thorne [59]. It is a weakening of the notion of big subgroups used by Wiles and Taylor in proving automorphy lifting theorem…