Brauer relations in finite groups
Alex BartelUniversity of Warwick, Coventry, UK
Tim DokchitserUniversity of Bristol, UK
If is a non-cyclic finite group, non-isomorphic -sets may give rise to isomorphic permutation representations . Equivalently, the map from the Burnside ring to the rational representation ring of 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 -groups.
Cite this article
Alex Bartel, Tim Dokchitser, Brauer relations in finite groups. J. Eur. Math. Soc. 17 (2015), no. 10, pp. 2473–2512DOI 10.4171/JEMS/563