Volume 12, issue 3 (2012)

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

Björn Schuster

Algebraic & Geometric Topology 12 (2012) 1695–1720
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 $K{\left(n\right)}^{\ast }\left(BG\right)$.

Keywords
Morava K-theory, Chern approximation
Mathematical Subject Classification 2010
Primary: 55N20, 55R35
Secondary: 55T25