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arxiv: 1210.2487 · v1 · pith:UCW46ODVnew · submitted 2012-10-09 · 🧮 math.GR · math.CT· math.RA

Vanishing evaluations of simple functors

classification 🧮 math.GR math.CTmath.RA
keywords simplebisetevaluationfunctorscasesclassificationclosedconditions
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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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