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Endotrivial Modules for the Schur Covers of the Symmetric and Alternating Groups

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We investigate the endotrivial modules for the Schur covers of the symmetric and alternating groups and determine the structure of their group of endotrivial modules in all characteristics. We provide a full description of this group by generators and relations in all cases.

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Authors and Affiliations

  1. FB Mathematik, TU Kaiserslautern, Postfach 3049, 67653, Kaiserslautern, Germany

    Caroline Lassueur

  2. Department of Mathematics and Statistics, Lancaster University, Lancaster, LA1 4YF, UK

    Nadia Mazza

Authors
  1. Caroline Lassueur
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  2. Nadia Mazza
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Corresponding author

Correspondence to Caroline Lassueur.

Additional information

Presented by Radha Kessar.

The first author gratefully acknowledges partial financial support by SNF Fellowship for Prospective Researchers PBELP2_143516.

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Lassueur, C., Mazza, N. Endotrivial Modules for the Schur Covers of the Symmetric and Alternating Groups. Algebr Represent Theor 18, 1321–1335 (2015). https://doi.org/10.1007/s10468-015-9542-y

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  • DOI: https://doi.org/10.1007/s10468-015-9542-y

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