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On fibred biset functors with fibres of order prime and four

2012/08/15 by Romero, Nadia
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1208.3052

Abstract

This note has two purposes: First, to present a counterexample to a conjecture parametrizing the simple modules over Green biset functors, appearing in an author's previous article. This parametrization fails for the monomial Burnside ring over a cyclic group of order four. Second, to classify the simple modules for the monomial Burnside ring over a group of prime order, for which the above-mentioned parametrization holds.

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