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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)∗(BG).

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