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.
|Translated title of the contribution||Brauer relations in finite groups|
|Number of pages||40|
|Journal||Journal of the European Mathematical Society|
|Early online date||28 Oct 2013|
|Publication status||Published - Oct 2015|
- math.RT RepresentationTheory (math.GR Group Theory)