Constructing All Irreducible Specht Modules in a Block of the Symmetric Group

  title={Constructing All Irreducible Specht Modules in a Block of the Symmetric Group},
  author={MATTHEW ONDRUS and C. Ryan Vinroot},
For any prime p, we construct, and simultaneously count, all of the complex Specht modules in a given p-block of the symmetric group which remain irreducible when reduced modulo p. We call the Specht modules with this property p-irreducible modules. Recently Fayers has proven a conjecture of James and Mathas that provides a characterization of the partitions that correspond to the p-irreducible modules. In this paper we present a method for decomposing the partitions corresponding to p… CONTINUE READING

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