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Brauer relations in finite groups

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Bartel, Alex and Dokchitser, Tim (2015) Brauer relations in finite groups. Journal of the European Mathematical Society, 17 (10). pp. 2473-2512. doi:10.4171/JEMS/563 ISSN 1435-9855.

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Official URL: http://dx.doi.org/10.4171/JEMS/563

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Abstract

If GG is a non-cyclic finite group, non-isomorphic GG-sets X,YX,Y may give rise to isomorphic permutation representations C[X]≅C[Y]C[X]≅C[Y]. Equivalently, the map from the Burnside ring to the rational representation ring of GG 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 pp-groups.

Item Type: Journal Article
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title: Journal of the European Mathematical Society
Publisher: European Mathematical Society Publishing House
ISSN: 1435-9855
Official Date: October 2015
Dates:
DateEvent
October 2015Published
29 October 2015Available
30 October 2012Submitted
Volume: 17
Number: 10
Page Range: pp. 2473-2512
DOI: 10.4171/JEMS/563
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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