Koen Thas

On the p-modular cohomology algebra of a finite p-group and a theorem of Serre

L'alg\`ebre de cohomologie p-modulaire d'un p-groupe fini

\begin{abstract}
We solve a problem posed by E. Yal\c{c}in 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 $p$. \\

{\bf R\'{e}sum\'{e}}.\quad
On obtient une borne pour la longueur cohomologique d'un $p$-groupe fini, 
$p > 2$, r\'{e}solvant ainsi  un probl\`{e}me pos\'{e}  par E. Yal\c{c}in.
\end{abstract}