Geodesic
Brauer relations in finite groups
Journal of the European Mathematical Society, Tome 17 (2015) no. 10, pp. 2473-2512.

Voir la notice de l'article provenant de la source EMS Press

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 
@article{JEMS_2015_17_10_a2,
     author = {Alex Bartel and Tim Dokchitser},
     title = {Brauer relations in finite groups},
     journal = {Journal of the European Mathematical Society},
     pages = {2473--2512},
     publisher = {mathdoc},
     volume = {17},
     number = {10},
     year = {2015},
     doi = {10.4171/jems/563},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/563/}
}
TY  - JOUR
AU  - Alex Bartel
AU  - Tim Dokchitser
TI  - Brauer relations in finite groups
JO  - Journal of the European Mathematical Society
PY  - 2015
SP  - 2473
EP  - 2512
VL  - 17
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/563/
DO  - 10.4171/jems/563
ID  - JEMS_2015_17_10_a2
ER  - 
%0 Journal Article
%A Alex Bartel
%A Tim Dokchitser
%T Brauer relations in finite groups
%J Journal of the European Mathematical Society
%D 2015
%P 2473-2512
%V 17
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/563/
%R 10.4171/jems/563
%F JEMS_2015_17_10_a2
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. http://geodesic.mathdoc.fr/articles/10.4171/jems/563/

Cité par Sources :