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A torsion projective class for a group algebra

A torsion projective class for a group algebra
A torsion projective class for a group algebra
We exhibit a cyclic-by-finite group G and two projective modules P and Q for the rational group algebra of G with the following properties: 1. P+P is isomorphic to Q+Q; 2. P is not stably isomorphic to Q; 3. after tensoring with the complex group algebra, P and Q become isomorphic. The proof that P and Q are not isomorphic is topological and involves the Mobius strip bundle over the circle.
0024-6093
75-77
Leary, I.J.
57bd5c53-cd99-41f9-b02a-4a512d45150e
Leary, I.J.
57bd5c53-cd99-41f9-b02a-4a512d45150e

Leary, I.J. (2000) A torsion projective class for a group algebra. Bulletin of the London Mathematical Society, 32 (1), 75-77. (doi:10.1112/S0024609399006566).

Record type: Article

Abstract

We exhibit a cyclic-by-finite group G and two projective modules P and Q for the rational group algebra of G with the following properties: 1. P+P is isomorphic to Q+Q; 2. P is not stably isomorphic to Q; 3. after tensoring with the complex group algebra, P and Q become isomorphic. The proof that P and Q are not isomorphic is topological and involves the Mobius strip bundle over the circle.

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Published date: 2000

Identifiers

Local EPrints ID: 29830
URI: http://eprints.soton.ac.uk/id/eprint/29830
DOI: doi:10.1112/S0024609399006566
ISSN: 0024-6093
PURE UUID: 07a0dae0-8832-4505-8a71-918d9554cf3e
ORCID for I.J. Leary: ORCID iD orcid.org/0000-0001-8300-4979

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Date deposited: 25 Jul 2006
Last modified: 16 Mar 2024 04:04

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Author: I.J. Leary ORCID iD

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