On the irreducible Specht modules for Iwahori–Hecke algebras of type A with q=−1

Let p be a prime and F a field of characteristic p, and let Hn denote the Iwahori–Hecke algebra of the symmetric group Sn over F at q=−1. We prove that there are only finitely many partitions λ such that both λ and λ′ are 2-singular and the Specht module Sλ for H|λ| is irreducible.