Mathematics – Representation Theory
Scientific paper
2011-03-10
Mathematics
Representation Theory
33 pages; added an application of the main theorem to regulator constants [{\S}9]. Also some other minor changes and correctio
Scientific paper
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.
Bartel Alex
Dokchitser Tim
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