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A lower bound on the vertices of Specht modules for symmetric groups

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Abstract

In this paper we study the vertices of indecomposable Specht modules for symmetric groups. For any given indecomposable non-projective Specht module, the main theorem of the article describes a p-subgroup contained in its vertex. The theorem generalizes and improves an earlier result due to Wildon in [13].

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  1. Royal Holloway, University of London, London, UK

    Eugenio Giannelli

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  1. Eugenio Giannelli
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Correspondence to Eugenio Giannelli.

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Giannelli, E. A lower bound on the vertices of Specht modules for symmetric groups. Arch. Math. 103, 1–9 (2014). https://doi.org/10.1007/s00013-014-0664-y

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  • DOI: https://doi.org/10.1007/s00013-014-0664-y

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