K(n) Chern approximations of some finite groups

Schuster, Björn

doi:10.2140/agt.2012.12.1695

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

Björn Schuster

Algebraic & Geometric Topology 12 (2012) 1695–1720

DOI: 10.2140/agt.2012.12.1695

Abstract

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 $K {(n)}^{*} (B G)$ .

Keywords

Morava K-theory, Chern approximation

Mathematical Subject Classification 2010

Primary: 55N20, 55R35

Secondary: 55T25

References

Publication

Received: 18 December 2008

Revised: 23 May 2012

Accepted: 23 May 2012

Published: 4 August 2012

Authors

Björn Schuster
Fakultät für Mathematik Ruhr-Universität Bochum Universitätsstr. 150 D-44801 Bochum Germany
http://www.ruhr-uni-bochum.de/ffm/Lehrstuehle/Lehrstuhl-XIII/schuster.html

Volume 12, issue 3 (2012)