Modular Representations of the Symmetric Group: Structure of Specht Modules
Dodge, Craig J.
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In this paper we will study the structure of Specht modules over a field of finite characteristic. Our primary concern will be the existence and construction of homomorphisms between certain Specht modules. We use the well understood radical filtrations of Specht modules in Rouquier blocks to find Specht modules, whose homomorphism space will be of arbitrary dimension. We will study semistandard homomorphisms and techniques developed by Fayers and Martin to find a previously unknown infinite family of decomposable Specht modules in characteristic two.