Representations of the Alternating Group which are Irreducible Over Subgroups

@inproceedings{Kleshchev2002RepresentationsOT,
  title={Representations of the Alternating Group which are Irreducible Over Subgroups},
  author={A. S. Kleshchev and Peter Sin and Pham Huu Tiep},
  year={2002}
}
  • A. S. Kleshchev, Peter Sin, Pham Huu Tiep
  • Published 2002
  • Mathematics
  • Let $F$ be an algebraically closed field of characteristic $p \geq 0$ and $A_n$ be the alternating group on $n$ letters. The main goal of this paper is to describe the pairs $(G, E)$, where $E$ is an irreducible $FA_n$-module and $G 3$. The case $p = 0$ has been treated by J. Saxl. The problem is important for the classification of maximal subgroups in finite classical groups. 2000 Mathematical Subject Classification: 20C20, 20C30, 20B35, 20B20. 

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