Abstract

In [14] Hemmer conjectures that the module of fixed points for the symmetric group Σm of a Specht module for Σn (with n>m), over a field of positive characteristic p, has a Specht series, when viewed as a Σn−m-module. We provide a counterexample for each prime p. The examples have the same form for p≥5 and we treat the cases p=3 and p=2 separately.

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