On obtient une borne pour la longueur cohomologique d'un p-groupe fini, , 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 when . These bounds improve the known bounds on the cohomology length of p-groups for odd p.
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@article{CRMATH_2007__344_7_417_0, author = {Thas, Koen}, title = {On the \protect\emph{p}-modular cohomology algebra of a finite \protect\emph{p}-group and a theorem of {Serre}}, journal = {Comptes Rendus. Math\'ematique}, pages = {417--420}, publisher = {Elsevier}, volume = {344}, number = {7}, year = {2007}, doi = {10.1016/j.crma.2007.01.003}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2007.01.003/} }
TY - JOUR AU - Thas, Koen TI - On the p-modular cohomology algebra of a finite p-group and a theorem of Serre JO - Comptes Rendus. Mathématique PY - 2007 SP - 417 EP - 420 VL - 344 IS - 7 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2007.01.003/ DO - 10.1016/j.crma.2007.01.003 LA - en ID - CRMATH_2007__344_7_417_0 ER -
%0 Journal Article %A Thas, Koen %T On the p-modular cohomology algebra of a finite p-group and a theorem of Serre %J Comptes Rendus. Mathématique %D 2007 %P 417-420 %V 344 %N 7 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2007.01.003/ %R 10.1016/j.crma.2007.01.003 %G en %F CRMATH_2007__344_7_417_0
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://archive.numdam.org/articles/10.1016/j.crma.2007.01.003/
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