Structure of quasiconvex virtual joins
Year: 2025
Type: article
Abstract: Let be a relatively hyperbolic group and let and be relatively quasiconvex subgroups. It is known that there are many pairs of finite index subgroups and such that the subgroup join is also relatively quasiconvex, given suitable assumptions on the profinite topology of . We show that the intersections of such joins with maximal parabolic subgroups of are themselves joins of intersections of the factor subgroups and with maximal parabolic subgroups of . As a consequence, we show that quasiconvex subgroups whose parabolic subgroups are almost compatible have finite index subgroups whose parabolic subgroups are compatible, and provide a combination theorem for such subgroups.
Source: Journal of Topology
DOI: 10.1112/topo.70021
Author: Lawk Mineh
Institution: University of Bonn
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,930
OpenAlex ID: W4409161099