# The irreducible Specht modules in characteristic 2

## Author

**Gordon James** and **Andrew Mathas**
## Status

Research Report 98-11

Date: 29 April 1998

## Abstract

In the representation theory of finite groups it is useful to know which
ordinary irreducible representations remain irreducible modulo a prime
*p*. For the symmetric groups *S*_{n} this amounts to
determining which Specht modules are irreducible over a field of
characteristic *p*. Throughout this note we work in characteristic
*2*, and in this case we classify the
irreducible Specht modules, thereby verifying the conjecture in
[James, p. 97].
## Key phrases

symmetric groups. Specht modules. irreducibility.

## AMS Subject Classification (1991)

Primary: 20C30

## Content

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