The Lie Module of the Symmetric Group

We provide an upper bound of 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 ∤ k.

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Bibliographic Details
Published in:International mathematics research notices 2010-01, Vol.2010 (19), p.3763-3785
Main Authors: Erdmann, Karin, Tan, Kai Meng
Format: Article
Language:English
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Summary:We provide an upper bound of 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 ∤ k.
ISSN:1073-7928
1687-0247
DOI:10.1093/imrn/rnp244