## Algebraic & Geometric Topology

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

Björn Schuster

#### 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 $K(n)∗(BG)$.

#### Article information

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

Dates
Revised: 23 May 2012
Accepted: 23 May 2012
First available in Project Euclid: 19 December 2017

https://projecteuclid.org/euclid.agt/1513715412

Digital Object Identifier
doi:10.2140/agt.2012.12.1695

Mathematical Reviews number (MathSciNet)
MR2966700

Zentralblatt MATH identifier
1254.55002

#### Citation

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. https://projecteuclid.org/euclid.agt/1513715412

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