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A New Cohomological Criterion for the p-Nilpotence of Groups

Published online by Cambridge University Press:  20 November 2018

Maurizio Brunetti
Maurizio Brunetti*
Affiliation:
Dipartimento di Matematica e applicazioni Università di Napoli via Claudio 21 I-80125 Napoli Italy
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Abstract

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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.

Keywords

55N2055N22
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 41 , Issue 1 , 01 March 1998 , pp. 20 - 22
Copyright
Copyright © Canadian Mathematical Society 1998

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