Let G be a finite group, H a copy of its p-Sylow subgroup, and K(n)*(BG) 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.
A new cohomological criterion for the $p$-nilpotence of groups / Brunetti, Maurizio. - In: CANADIAN MATHEMATICAL BULLETIN. - ISSN 0008-4395. - STAMPA. - 41:no. 1(1998), pp. 20-22.
A new cohomological criterion for the $p$-nilpotence of groups
BRUNETTI, MAURIZIO
1998
Abstract
Let G be a finite group, H a copy of its p-Sylow subgroup, and K(n)*(BG) 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.File in questo prodotto:
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