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A family of crystallographic groups with 2-torsion in K0 of the rational group algebra

A family of crystallographic groups with 2-torsion in K0 of the rational group algebra
A family of crystallographic groups with 2-torsion in K0 of the rational group algebra
We calculate K0 of the rational group algebra of a certain crystallographic group, showing that it contains an element of order 2. We show that this element is the Euler class, and use our calculation to produce a whole family of groups with Euler class of order 2.
325-331
Kropholler, P.H.
0a2b4a66-9f0d-4c52-8541-3e4b2214b9f4
Moselle, B.
1ef16546-40d0-4a93-8a87-d6ebf281cd59
Kropholler, P.H.
0a2b4a66-9f0d-4c52-8541-3e4b2214b9f4
Moselle, B.
1ef16546-40d0-4a93-8a87-d6ebf281cd59

Kropholler, P.H. and Moselle, B. (1991) A family of crystallographic groups with 2-torsion in K0 of the rational group algebra Proceedings of the Edinburgh Mathematical Society, 34, (2), pp. 325-331. (doi:10.1017/S0013091500007215).

Record type: Article

Abstract

We calculate K0 of the rational group algebra of a certain crystallographic group, showing that it contains an element of order 2. We show that this element is the Euler class, and use our calculation to produce a whole family of groups with Euler class of order 2.

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Published date: June 1991
Organisations: Mathematical Sciences

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Local EPrints ID: 349618
URI: http://eprints.soton.ac.uk/id/eprint/349618
PURE UUID: 01103ed0-5a51-441f-ac3f-ac732e26a48f

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Date deposited: 12 Mar 2013 12:03
Last modified: 18 Jul 2017 04:40

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Contributors

Author: P.H. Kropholler
Author: B. Moselle

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