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arXiv · 1208.3052

On fibred biset functors with fibres of order prime and four

Nadia Romero
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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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Nadia Romero. 2012-08-15. On fibred biset functors with fibres of order prime and four. https://arxiv.org/abs/1208.3052

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