Algebraic & Geometric Topology

$K(n)$ Chern approximations of some finite groups

Björn Schuster

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A few examples of 2–groups are presented whose Morava K–theory is determined by representation theory. By contrast, a 3–primary example shows that in general relations arising from representation theory do not suffice to calculate the Chern subring of K(n)(BG).

Article information

Algebr. Geom. Topol., Volume 12, Number 3 (2012), 1695-1720.

Received: 18 December 2008
Revised: 23 May 2012
Accepted: 23 May 2012
First available in Project Euclid: 19 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 55N20: Generalized (extraordinary) homology and cohomology theories 55R35: Classifying spaces of groups and $H$-spaces
Secondary: 55T25: Generalized cohomology

Morava K-theory Chern approximation


Schuster, Björn. $K(n)$ Chern approximations of some finite groups. Algebr. Geom. Topol. 12 (2012), no. 3, 1695--1720. doi:10.2140/agt.2012.12.1695.

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