Journal article
JSJ decompositions and polytopes for two-generator one-relator groups
- Abstract:
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We provide a direct connection between the Zmax (or essential) JSJ decomposition and the Friedl–Tillmann polytope of a hyperbolic two-generator one-relator group with abelianisation of rank 2.
We deduce various structural and algorithmic properties, like the existence of a quadratic-time algorithm computing the ZmaxJSJ decomposition of such groups.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 417.7KB, Terms of use)
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- Publisher copy:
- 10.1017/s0305004126101959
Authors
+ European Research Council
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- Funder identifier:
- https://ror.org/0472cxd90
- Grant:
- 850930
- Publisher:
- Cambridge University Press
- Journal:
- Mathematical Proceedings of the Cambridge Philosophical Society More from this journal
- Publication date:
- 2026-05-11
- Acceptance date:
- 2025-10-17
- DOI:
- EISSN:
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1469-8064
- ISSN:
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0305-0041
- Language:
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English
- Pubs id:
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1155884
- Local pid:
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pubs:1155884
- Deposit date:
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2025-10-17
- ARK identifier:
Terms of use
- Copyright holder:
- Gardam et al.
- Copyright date:
- 2026
- Rights statement:
- © The Author(s), 2026. Published by Cambridge University Press on behalf of The Cambridge Philosophical Society. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.
- Licence:
- CC Attribution (CC BY)
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