 |
|
A new cohomological criterion for the $p$-nilpotence of groups |
Canad. Math. Bull. 41(1998), 20-22
Published:1998-03-01
Printed: Mar 1998
Printed: Mar 1998
- Maurizio Brunetti
Abstract
Let $G$ be a finite group, $H$ a copy of its $p$-Sylow
subgroup, and $\kn$ the $n$-th Morava $K$-theory at $p$.
In this paper we prove that the existence of an
isomorphism between $K(n)^\ast(BG)$ and $K(n)^\ast(BH)$ is
a sufficient condition for $G$ to be $p$-nilpotent.
| MSC Classifications: |
55N20 - Generalized (extraordinary) homology and cohomology theories 55N22 - Bordism and cobordism theories, formal group laws [See also 14L05, 19L41, 57R75, 57R77, 57R85, 57R90] |