Comptes Rendus
no. 11-12
Algebra/Group Theory
Odd character degrees for Sp(2n,2)
[Degrés de caractères impairs sur Sp2n(2)]

Présenté par : Jean-Pierre Serre

Marc Cabanes1
1 Institut de Mathématiques de Jussieu, Université Paris 7, 175 rue du Chevaleret, F-75013 Paris, France
Comptes Rendus. Mathématique, Volume 349 (2011) no. 11-12, pp. 611-614.

Nous vérifions la conjecture de McKay sur les degrés de caractères dans le cas des groupes symplectiques sur le corps à deux éléments Sp2n(2) et du nombre premier 2. Nous montrons ensuite la condition de McKay inductive (Isaacs–Malle–Navarro) pour Sp4(2m) et tous les nombres premiers.

We check the McKay conjecture on character degrees for the case of symplectic groups over the field with two elements Sp2n(2) and the prime 2. Then we check the inductive McKay condition (Isaacs–Malle–Navarro) for Sp4(2m) and all primes.

Reçu le :
Accepté le :
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DOI : 10.1016/j.crma.2011.05.007
Marc Cabanes 1

1 Institut de Mathématiques de Jussieu, Université Paris 7, 175 rue du Chevaleret, F-75013 Paris, France 
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Marc Cabanes. Odd character degrees for $ \mathrm{Sp}(2n,2)$. Comptes Rendus. Mathématique, Volume 349 (2011) no. 11-12, pp. 611-614. doi : 10.1016/j.crma.2011.05.007. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2011.05.007/

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