Geodesic
Brauer relations in finite groups
Journal of the European Mathematical Society, Tome 17 (2015) no. 10, pp. 2473-2512 Cet article a éte moissonné depuis la source EMS Press

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If G is a non-cyclic finite group, non-isomorphic G-sets X,Y may give rise to isomorphic permutation representations C[X]≅C[Y]. Equivalently, the map from the Burnside ring to the rational 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.
DOI : 10.4171/jems/563
Classification : 19-XX, 20-XX
Keywords: Brauer relations, finite groups, permutation groups, Burnside ring, rational representations 
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     author = {Alex Bartel and Tim Dokchitser},
     title = {Brauer relations in finite groups},
     journal = {Journal of the European Mathematical Society},
     pages = {2473--2512},
     year = {2015},
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     number = {10},
     doi = {10.4171/jems/563},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/563/}
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Alex Bartel; Tim Dokchitser. Brauer relations in finite groups. Journal of the European Mathematical Society, Tome 17 (2015) no. 10, pp. 2473-2512. doi: 10.4171/jems/563

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