The Lie module of the symmetric group

2009/06/30 by Karin Erdmann, Erdmann, Karin, Kai Meng Tan +1
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.0906.5390

Abstract

We provide an upper bound for the dimension of the maximal projective submodule of the Lie module of the symmetric group of n letters in prime characteristic p, where n = pk with p \nmid k.

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