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Conjugacy in Houghton's groups

Conjugacy in Houghton's groups
Conjugacy in Houghton's groups
Let nEN. Houghton's group Hn is the group of permutations of {1,…,n}×N, that eventually act as a translation in each copy of N. We prove the solvability of the conjugacy problem and conjugator search problem for Hn, n>2.
0073-8301
3-16
Antolin, Y.
57d17d79-404f-4fee-987b-441dab625ce4
Burillo, J.
8c1e5430-418d-4b1e-8112-0c23bac3b390
Martino, A.
65f1ff81-7659-4543-8ee2-0a109be286f1
Antolin, Y.
57d17d79-404f-4fee-987b-441dab625ce4
Burillo, J.
8c1e5430-418d-4b1e-8112-0c23bac3b390
Martino, A.
65f1ff81-7659-4543-8ee2-0a109be286f1

Antolin, Y., Burillo, J. and Martino, A. (2015) Conjugacy in Houghton's groups. Publicacions Matemàtiques, 59 (1), 3-16.

Record type: Article

Abstract

Let nEN. Houghton's group Hn is the group of permutations of {1,…,n}×N, that eventually act as a translation in each copy of N. We prove the solvability of the conjugacy problem and conjugator search problem for Hn, n>2.

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Published date: 21 January 2015
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 402875
URI: http://eprints.soton.ac.uk/id/eprint/402875
ISSN: 0073-8301
PURE UUID: 81645127-a27d-4fbe-b3f9-985f90e4a20a
ORCID for A. Martino: ORCID iD orcid.org/0000-0002-5350-3029

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Date deposited: 17 Nov 2016 14:13
Last modified: 30 Apr 2020 00:31

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