Vanishing evaluations of simple functors

The classification of simple biset functors is known, but the evaluation of a simple biset functor at a finite group G may be zero. We investigate various situations where this happens, as well as cases where this does not occur. We also prove a closed formula for such an evaluation under some restr...

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Bibliographic Details
Published in:Journal of pure and applied algebra 2014-02, Vol.218 (2), p.218-227
Main Authors: Bouc, Serge, Stancu, Radu, Thévenaz, Jacques
Format: Article
Language:English
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Summary:The classification of simple biset functors is known, but the evaluation of a simple biset functor at a finite group G may be zero. We investigate various situations where this happens, as well as cases where this does not occur. We also prove a closed formula for such an evaluation under some restrictive conditions on  G.
ISSN:0022-4049
1873-1376
DOI:10.1016/j.jpaa.2013.05.007