Geodesic
A New Cohomological Criterion for the p-Nilpotence of Groups
Canadian mathematical bulletin, Tome 41 (1998) no. 1, pp. 20-22

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DOI

Let $G$ be a finite group, $H$ a copy of its $p$ -Sylow subgroup, and $K{{\left( n \right)}^{*}}\left( - \right)$ the $n$ -th Morava $K$ -theory at $p$ . In this paper we prove that the existence of an isomorphism between $K{{(n)}^{*}}(BG)$ and $K{{(n)}^{*}}(BH)$ is a sufficient condition for $G$ to be $p$ -nilpotent.
DOI : 10.4153/CMB-1998-004-x
Mots-clés : 55N20, 55N22 
Brunetti, Maurizio. A New Cohomological Criterion for the p-Nilpotence of Groups. Canadian mathematical bulletin, Tome 41 (1998) no. 1, pp. 20-22. doi: 10.4153/CMB-1998-004-x
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     journal = {Canadian mathematical bulletin},
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     year = {1998},
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     doi = {10.4153/CMB-1998-004-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-004-x/}
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