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A New Cohomological Criterion for the p-Nilpotence of Groups
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1998
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