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Dehn functions of coabelian subgroups of direct products of groups
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Kropholler, Robert and Llosa Isenrich, Claudio (2023) Dehn functions of coabelian subgroups of direct products of groups. Journal of the London Mathematical Society, 107 (1). pp. 123-152. doi:10.1112/jlms.12682 ISSN 0024-6107.
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Official URL: http://dx.doi.org/10.1112/jlms.12682
Abstract
We develop new methods for computing the precise Dehn functions of coabelian subgroups of direct products of groups, that is, subgroups which arise as kernels of homomorphisms from the direct product onto a free abelian group. These improve and generalise previous results by Carter and Forester on Dehn functions of level sets in products of simply connected cube complexes, by Bridson on Dehn functions of cocyclic groups and by Dison on Dehn functions of coabelian groups. We then provide several applications of our methods to subgroups of direct products of free groups, to groups with interesting geometric finiteness properties and to subgroups of direct products of right-angled Artin groups.
| Item Type: | Journal Article | ||||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||
| Library of Congress Subject Headings (LCSH): | Group theory, Artin rings, Abelian groups, Finite groups, Geometry, Algebraic | ||||||||||
| Journal or Publication Title: | Journal of the London Mathematical Society | ||||||||||
| Publisher: | Wiley | ||||||||||
| ISSN: | 0024-6107 | ||||||||||
| Official Date: | January 2023 | ||||||||||
| Dates: |
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| Volume: | 107 | ||||||||||
| Number: | 1 | ||||||||||
| Number of Pages: | 30 | ||||||||||
| Page Range: | pp. 123-152 | ||||||||||
| DOI: | 10.1112/jlms.12682 | ||||||||||
| Status: | Peer Reviewed | ||||||||||
| Publication Status: | Published | ||||||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||||||
| Date of first compliant deposit: | 24 October 2022 | ||||||||||
| Date of first compliant Open Access: | 24 October 2022 | ||||||||||
| RIOXX Funder/Project Grant: |
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