Geodesic
Characters of odd degree
Gunter Malle1 ; Britta Späth2
1 FB Mathematik, TU Kaiserslautern, Kaisers\-lautern, Germany
2 Universität Wuppertal, School of Mathematics and Natural Sciences, Wuppertal, Germany
Annals of mathematics, Tome 184 (2016) no. 3, pp. 869-908.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We prove the McKay conjecture on characters of odd degree. A major step in the proof is the verification of the inductive McKay condition for groups of Lie type and primes $\ell$ such that a Sylow $\ell$-subgroup or its maximal normal abelian subgroup is contained in a maximally split torus by means of a new equivariant version of Harish-Chandra induction. Specifics of characters of odd degree, namely, that most of them lie in the principal Harish-Chandra series, then allow us to deduce from it the McKay conjecture for the prime $2$, hence for characters of odd degree.
DOI : 10.4007/annals.2016.184.3.6

Gunter Malle 1 ; Britta Späth 2

1 FB Mathematik, TU Kaiserslautern, Kaisers\-lautern, Germany
2 Universität Wuppertal, School of Mathematics and Natural Sciences, Wuppertal, Germany 
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Gunter Malle; Britta Späth. Characters of odd degree. Annals of mathematics, Tome 184 (2016) no. 3, pp. 869-908. doi : 10.4007/annals.2016.184.3.6. http://geodesic.mathdoc.fr/articles/10.4007/annals.2016.184.3.6/

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