The Library
Subgroups of direct products of limit groups over Droms RAAGs
Tools
Tools
Tools
Lopez de Gamiz Zearra, Jone (2022) Subgroups of direct products of limit groups over Droms RAAGs. Algebraic & Geometric Topology, 22 (7). pp. 3485-3510. doi:10.2140/agt.2022.22.3485 ISSN 1472-2747.
|
PDF
WRAP-Subgroups-direct-products-limit-groups-Droms-RAAGs-22.pdf - Accepted Version - Requires a PDF viewer. Download (384Kb) | Preview |
Official URL: http://doi.org/10.2140/agt.2022.22.3485
Abstract
A result of Bridson, Howie, Miller and Short states that if S is a subgroup of type FPn(Q) of the direct product of n limit groups over free groups, then S is virtually the direct product of limit groups over free groups. Furthermore, they characterise finitely presented residually free groups. In this paper these results are generalised to limit groups over Droms right-angled Artin groups. Droms RAAGs are the right-angled Artin groups with the property that all of their finitely generated subgroups are again RAAGs. In addition, we show that the generalised conjugacy problem is solvable for finitely presented groups that are residually a Droms RAAG, and that their finitely presentable subgroups are separable.
| Item Type: | Journal Article | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
| Library of Congress Subject Headings (LCSH): | Group theory, Homology theory, Geometry, Algebraic, Free groups, Finite groups | ||||||||
| Journal or Publication Title: | Algebraic & Geometric Topology | ||||||||
| Publisher: | Mathematical Sciences Publishers | ||||||||
| ISSN: | 1472-2747 | ||||||||
| Official Date: | 2022 | ||||||||
| Dates: |
|
||||||||
| Volume: | 22 | ||||||||
| Number: | 7 | ||||||||
| Page Range: | pp. 3485-3510 | ||||||||
| DOI: | 10.2140/agt.2022.22.3485 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||
| Copyright Holders: | Copyright © 2022 Mathematical Sciences Publishers | ||||||||
| Date of first compliant deposit: | 20 March 2023 | ||||||||
| Date of first compliant Open Access: | 20 March 2023 |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
