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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
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: |
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| 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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