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
Schuster, Björn  1
@article{10_2140_agt_2012_12_1695,
author = {Schuster, Bj\"orn},
title = {K(n) {Chern} approximations of some finite groups},
journal = {Algebraic and Geometric Topology},
pages = {1695--1720},
year = {2012},
volume = {12},
number = {3},
doi = {10.2140/agt.2012.12.1695},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2012.12.1695/}
}
Schuster, Björn. K(n) Chern approximations of some finite groups. Algebraic and Geometric Topology, Tome 12 (2012) no. 3, pp. 1695-1720. doi: 10.2140/agt.2012.12.1695
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