no. 7
Homological Algebra
On the p-modular cohomology algebra of a finite p-group and a theorem of Serre
[L' algèbre de cohomologie p-modulaire d'un p-groupe fini]

Présenté par : Jean-Pierre Serre

Thas, Koen1
1 Department of Pure Mathematics and Computer Algebra, Ghent University, Krijgslaan 281, S22, B-9000 Ghent, Belgium
Comptes Rendus. Mathématique, Tome 344 (2007) no. 7, pp. 417-420.

On obtient une borne pour la longueur cohomologique d'un p-groupe fini, p>2, résolvant ainsi un problème posé par E. Yalçin.

We solve a problem posed by E. Yalçin on the cohomology length of a p-group P, by providing bounds for the group theoretical invariant s(P) when p>2. These bounds improve the known bounds on the cohomology length of p-groups for odd p.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2007.01.003
Thas, Koen 1

1 Department of Pure Mathematics and Computer Algebra, Ghent University, Krijgslaan 281, S22, B-9000 Ghent, Belgium 
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Thas, Koen. On the p-modular cohomology algebra of a finite p-group and a theorem of Serre. Comptes Rendus. Mathématique, Tome 344 (2007) no. 7, pp. 417-420. doi : 10.1016/j.crma.2007.01.003. http://www.numdam.org/articles/10.1016/j.crma.2007.01.003/

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