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One-relator groups with torsion are conjugacy separable

One-relator groups with torsion are conjugacy separable
One-relator groups with torsion are conjugacy separable
We prove that one-relator groups with torsion are hereditarily conjugacy separable. Our argument is based on a combination of recent results of Dani Wise and the first author. As a corollary we obtain that any quasiconvex subgroup of a one-relator group with torsion is also conjugacy separable.
one-relator groups with torsion, conjugacy separable
0021-8693
39-45
Minasyan, Ashot
3de640f5-d07b-461f-b130-5b1270bfdb3d
Zalesskii, Pavel
e6e019f3-d8f7-4d8d-b92b-ab808dc96930
Minasyan, Ashot
3de640f5-d07b-461f-b130-5b1270bfdb3d
Zalesskii, Pavel
e6e019f3-d8f7-4d8d-b92b-ab808dc96930

Minasyan, Ashot and Zalesskii, Pavel (2013) One-relator groups with torsion are conjugacy separable. Journal of Algebra, 382, 39-45. (doi:10.1016/j.jalgebra.2013.02.015).

Record type: Article

Abstract

We prove that one-relator groups with torsion are hereditarily conjugacy separable. Our argument is based on a combination of recent results of Dani Wise and the first author. As a corollary we obtain that any quasiconvex subgroup of a one-relator group with torsion is also conjugacy separable.

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e-pub ahead of print date: 1 March 2013
Published date: 15 May 2013
Keywords: one-relator groups with torsion, conjugacy separable
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 356147
URI: http://eprints.soton.ac.uk/id/eprint/356147
DOI: doi:10.1016/j.jalgebra.2013.02.015
ISSN: 0021-8693
PURE UUID: 831dba80-148a-4a2e-8627-dd937100516c
ORCID for Ashot Minasyan: ORCID iD orcid.org/0000-0002-4986-2352

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Date deposited: 11 Sep 2013 10:52
Last modified: 15 Mar 2024 03:29

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Contributors

Author: Ashot Minasyan ORCID iD
Author: Pavel Zalesskii

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