The irreducible Specht modules in characteristic 2


Gordon James and Andrew Mathas


Research Report 98-11
Date: 29 April 1998


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 Sn 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


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