Separable subsets of GFERF negatively curved groups☆

Minasyan, Ashot

doi:10.1016/j.jalgebra.2006.03.050

Scientific article

English

Separable subsets of GFERF negatively curved groups☆

ContributorsMinasyan, Ashot

Published inJournal of algebra, vol. 304, no. 2, p. 1090-1100

Publication date2006

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.

Keywords

Word hyperbolic groups
Profinite topology
GFERF

Affiliation

Faculté des sciences / Section de mathématiques

Citation (ISO format)

MINASYAN, Ashot. Separable subsets of GFERF negatively curved groups☆. In: Journal of algebra, 2006, vol. 304, n° 2, p. 1090–1100. doi: 10.1016/j.jalgebra.2006.03.050

Article (Published version)

Identifiers

PID : unige:12092
DOI : 10.1016/j.jalgebra.2006.03.050

Commercial URLhttp://linkinghub.elsevier.com/retrieve/pii/S0021869306003930

ISSN of the journal0021-8693

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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.

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