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Vanishing evaluations of simple functors

2012/10/09 by Serge Bouc, Bouc, Serge, Radu Stancu +3
Mathematics · #Category Theory (math.CT) #FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA) #math.CT #math.GR #math.RA

paper · pdf · doi:10.48550/arxiv.1210.2487

arxiv created 2012/10/09 · arxiv updated 2012/10/10

Abstract

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.

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