Margolis homology and morava ${K}$-theory of classifying spaces for finite group

Jun Sim Cha

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J. Korean Math. Soc. 1995; 32(3): 563-571

Printed September 1, 1995

Margolis homology and morava ${K}$-theory of classifying spaces for finite group

Jun Sim Cha

Kyung Hee University

Abstract

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Abstract

In this paper, we note that the Margolis homology $$H(H^{\ast}(BG\,;\Bbb Z /p),\,\,Q_n)$$ relates deeply the Morava $K$-theory $K(n)^{\ast}(BG)$. In particular, we compute $K(n)^{\ast}(BG)$ for some small $p$-group $G$ by using Atiyah-Hirzebruch spectral sequence.

Keywords: Margolis Homology, Morava $K$-theory

MSC numbers: 55N15