Brauer relations in finite groups

  • Alex Bartel

    University of Warwick, Coventry, UK
  • Tim Dokchitser

    University 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. 2473–2512

DOI 10.4171/JEMS/563