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arXiv · 1103.2047

Brauer relations in finite groups

Alex Bartel·Tim Dokchitser
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Abstract

If G is a non-cyclic finite group, non-isomorphic G-sets X, Y may give rise to isomorphic permutation representations C[X] and C[Y]. Equivalently, the map from the Burnside ring to the representation ring of G has a kernel. Its elements are called Brauer relations, and the purpose of this paper is to classify them in all finite groups, extending the Tornehave-Bouc classification in the case of p-groups.

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Alex Bartel, Tim Dokchitser. 2015-10-12. Brauer relations in finite groups. https://doi.org/10.4171/jems%2F563

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