Virtual amalgamation of relatively quasiconvex subgroups

Eduardo Martínez-Pedroza; Alessandro Sisto

doi:10.2140/agt.2012.12.1993

Virtual amalgamation of relatively quasiconvex subgroups

Eduardo Martínez-Pedroza^*
, Alessandro Sisto

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

For relatively hyperbolic groups, we investigate conditions guaranteeing that the subgroup generated by two relatively quasiconvex subgroups Q ₁ and Q ₂ is relatively quasiconvex and isomorphic to Q ₁* Q ₁∩Q2 Q ₂. The main theorem extends results for quasiconvex subgroups of word-hyperbolic groups, and results for discrete subgroups of isometries of hyperbolic spaces. An application on separability of double cosets of quasiconvex subgroups is included.

Original language	English
Pages (from-to)	1993-2002
Number of pages	10
Journal	Algebraic and Geometric Topology
Volume	12
Issue number	4
DOIs	https://doi.org/10.2140/agt.2012.12.1993
Publication status	Published - 27 Oct 2012

ASJC Scopus subject areas

Geometry and Topology

Access to Document

10.2140/agt.2012.12.1993

Cite this

@article{f4fdc58733264146977086b8fecfcc97,

title = "Virtual amalgamation of relatively quasiconvex subgroups",

abstract = "For relatively hyperbolic groups, we investigate conditions guaranteeing that the subgroup generated by two relatively quasiconvex subgroups Q 1 and Q 2 is relatively quasiconvex and isomorphic to Q 1* Q 1∩Q2 Q 2. The main theorem extends results for quasiconvex subgroups of word-hyperbolic groups, and results for discrete subgroups of isometries of hyperbolic spaces. An application on separability of double cosets of quasiconvex subgroups is included.",

author = "Eduardo Mart{\'i}nez-Pedroza and Alessandro Sisto",

year = "2012",

month = oct,

day = "27",

doi = "10.2140/agt.2012.12.1993",

language = "English",

volume = "12",

pages = "1993--2002",

journal = "Algebraic and Geometric Topology",

issn = "1472-2747",

publisher = "Mathematical Sciences Publishers",

number = "4",

}

TY - JOUR

T1 - Virtual amalgamation of relatively quasiconvex subgroups

AU - Martínez-Pedroza, Eduardo

AU - Sisto, Alessandro

PY - 2012/10/27

Y1 - 2012/10/27

N2 - For relatively hyperbolic groups, we investigate conditions guaranteeing that the subgroup generated by two relatively quasiconvex subgroups Q 1 and Q 2 is relatively quasiconvex and isomorphic to Q 1* Q 1∩Q2 Q 2. The main theorem extends results for quasiconvex subgroups of word-hyperbolic groups, and results for discrete subgroups of isometries of hyperbolic spaces. An application on separability of double cosets of quasiconvex subgroups is included.

AB - For relatively hyperbolic groups, we investigate conditions guaranteeing that the subgroup generated by two relatively quasiconvex subgroups Q 1 and Q 2 is relatively quasiconvex and isomorphic to Q 1* Q 1∩Q2 Q 2. The main theorem extends results for quasiconvex subgroups of word-hyperbolic groups, and results for discrete subgroups of isometries of hyperbolic spaces. An application on separability of double cosets of quasiconvex subgroups is included.

UR - https://www.scopus.com/pages/publications/84868531892

U2 - 10.2140/agt.2012.12.1993

DO - 10.2140/agt.2012.12.1993

M3 - Article

AN - SCOPUS:84868531892

SN - 1472-2747

VL - 12

SP - 1993

EP - 2002

JO - Algebraic and Geometric Topology

JF - Algebraic and Geometric Topology

IS - 4

ER -

Virtual amalgamation of relatively quasiconvex subgroups

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this