# 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} }

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.

Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

1

Twitter Mention

#### Citations

##### Publications citing this paper.

SHOWING 1-10 OF 18 CITATIONS

## Irreducible tensor products for alternating groups in characteristic 5.

VIEW 4 EXCERPTS

CITES BACKGROUND

HIGHLY INFLUENCED

## Irreducible restrictions of representations of alternating groups in small characteristics: Reduction theorems

VIEW 1 EXCERPT

CITES BACKGROUND

## Irreducible tensor products for symmetric groups in characteristic 2

VIEW 1 EXCERPT

CITES BACKGROUND

## Some remarks on maximal subgroups of finite classical groups

VIEW 1 EXCERPT

CITES BACKGROUND

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 30 REFERENCES