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Separable subsets of GFERF negatively curved groups

Separable subsets of GFERF negatively curved groups
Separable subsets of GFERF negatively curved groups
A word hyperbolic group G is called GFERF if every quasiconvex subgroup coincides with the intersection of finite index subgroups containing it. We show that in any such group, the product of finitely many quasiconvex subgroups is closed in the profinite topology on G.
Word hyperbolic groups, profinite topology, GFERF
0021-8693
1090-1100
Minasyan, Ashot
3de640f5-d07b-461f-b130-5b1270bfdb3d
Minasyan, Ashot
3de640f5-d07b-461f-b130-5b1270bfdb3d

Minasyan, Ashot (2006) Separable subsets of GFERF negatively curved groups. Journal of Algebra, 304 (2), 1090-1100. (doi:10.1016/j.jalgebra.2006.03.050).

Record type: Article

Abstract

A word hyperbolic group G is called GFERF if every quasiconvex subgroup coincides with the intersection of finite index subgroups containing it. We show that in any such group, the product of finitely many quasiconvex subgroups is closed in the profinite topology on G.

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Published date: 15 October 2006
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Keywords: Word hyperbolic groups, profinite topology, GFERF

Identifiers

Local EPrints ID: 46732
URI: http://eprints.soton.ac.uk/id/eprint/46732
DOI: doi:10.1016/j.jalgebra.2006.03.050
ISSN: 0021-8693
PURE UUID: 4a4290d7-f61c-4f1d-9452-7ceb0ec604ec
ORCID for Ashot Minasyan: ORCID iD orcid.org/0000-0002-4986-2352

Catalogue record

Date deposited: 17 Jul 2007
Last modified: 16 Mar 2024 03:56

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Author: Ashot Minasyan ORCID iD

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