JSJ decompositions and polytopes for two-generator one-relator groups
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866914104508153856 |
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| author | Gardam, Giles Kielak, Dawid Logan, Alan D. |
| author_facet | Gardam, Giles Kielak, Dawid Logan, Alan D. |
| contents | We provide a direct connection between the Z_{max} (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 Z_{max}-JSJ decomposition of such groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2101_02193 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | JSJ decompositions and polytopes for two-generator one-relator groups Gardam, Giles Kielak, Dawid Logan, Alan D. Group Theory Algebraic Topology 20E34, 20F05, 20F65, 20F67, 20J05 We provide a direct connection between the Z_{max} (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 Z_{max}-JSJ decomposition of such groups. |
| title | JSJ decompositions and polytopes for two-generator one-relator groups |
| topic | Group Theory Algebraic Topology 20E34, 20F05, 20F65, 20F67, 20J05 |
| url | https://arxiv.org/abs/2101.02193 |