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Folding-like techniques for CAT(0) cube complexes
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Ben–Zvi, Michael, Kropholler, Robert and Lyman, Rylee Alanza (2022) Folding-like techniques for CAT(0) cube complexes. Mathematical Proceedings of the Cambridge Philosophical Society, 173 (1). pp. 227-238. doi:10.1017/S0305004121000645 ISSN 0305-0041.
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Official URL: http://dx.doi.org/10.1017/S0305004121000645
Abstract
In a seminal paper, Stallings introduced folding of morphisms of graphs. One consequence of folding is the representation of finitely-generated subgroups of a finite-rank free group as immersions of finite graphs. Stallings’s methods allow one to construct this representation algorithmically, giving effective, algorithmic answers and proofs to classical questions about subgroups of free groups. Recently Dani–Levcovitz used Stallings-like methods to study subgroups of right-angled Coxeter groups, which act geometrically on CAT(0) cube complexes. In this paper we extend their techniques to fundamental groups of non-positively curved cube complexes.
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): | Geometric group theory, Hyperbolic groups, Coxeter groups | ||||||||
Journal or Publication Title: | Mathematical Proceedings of the Cambridge Philosophical Society | ||||||||
Publisher: | Cambridge University Press | ||||||||
ISSN: | 0305-0041 | ||||||||
Official Date: | July 2022 | ||||||||
Dates: |
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Volume: | 173 | ||||||||
Number: | 1 | ||||||||
Page Range: | pp. 227-238 | ||||||||
DOI: | 10.1017/S0305004121000645 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Reuse Statement (publisher, data, author rights): | © The Author(s), 2021. Published by Cambridge University Press on behalf of Cambridge Philosophical Society. | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Date of first compliant deposit: | 1 December 2021 | ||||||||
Date of first compliant Open Access: | 1 December 2021 | ||||||||
RIOXX Funder/Project Grant: |
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