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A property of the lamplighter group

A property of the lamplighter group
A property of the lamplighter group
We show that the inert subgroups of the lamplighter group fall into exactly five commensurability classes. The result is then connected with the theory of totally disconnected locally compact groups and with algebraic entropy.
lamplighter, inert, commensurated
2299-3231
1-4
Kropholler, Peter
0a2b4a66-9f0d-4c52-8541-3e4b2214b9f4
Castellano, Ilaria
4b8a6f84-a6b6-4e27-bf01-a87d921785b7
Corob Cook, Ged
de8c4e37-ab72-4e7c-ad10-a940066433c5
Kropholler, Peter
0a2b4a66-9f0d-4c52-8541-3e4b2214b9f4
Castellano, Ilaria
4b8a6f84-a6b6-4e27-bf01-a87d921785b7
Corob Cook, Ged
de8c4e37-ab72-4e7c-ad10-a940066433c5

Kropholler, Peter, Castellano, Ilaria and Corob Cook, Ged (2020) A property of the lamplighter group. Topological Algebra and its Applications, 8 (1), 1-4. (doi:10.1515/taa-2020-0001).

Record type: Article

Abstract

We show that the inert subgroups of the lamplighter group fall into exactly five commensurability classes. The result is then connected with the theory of totally disconnected locally compact groups and with algebraic entropy.

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1909.01094 - Accepted Manuscript
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Topological Algebra and its Applications A property of the lamplighter group - Version of Record
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More information

Accepted/In Press date: 9 October 2019
e-pub ahead of print date: 24 February 2020
Published date: 2020
Keywords: lamplighter, inert, commensurated

Identifiers

Local EPrints ID: 437361
URI: http://eprints.soton.ac.uk/id/eprint/437361
ISSN: 2299-3231
PURE UUID: 6c5adc95-f266-4e2f-ac1e-320eebce1654
ORCID for Peter Kropholler: ORCID iD orcid.org/0000-0001-5460-1512

Catalogue record

Date deposited: 24 Jan 2020 17:33
Last modified: 18 Feb 2021 17:21

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