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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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- Research Article
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- Copyright © Canadian Mathematical Society 1998
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