Finite-index accessibility of groups
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913175126933504 |
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| author | Forester, Max Martino, Anthony |
| author_facet | Forester, Max Martino, Anthony |
| contents | We prove an accessibility theorem for finite-index splittings of groups. Given a finitely presented group G there is a number n(G) such that, for every reduced locally finite G-tree T with finitely generated stabilizers, T/G has at most n(G) vertices and edges. We also show that deformation spaces of locally finite trees (with finitely generated stabilizers) are maximal in the partial ordering of domination of G-trees. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10184 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finite-index accessibility of groups Forester, Max Martino, Anthony Group Theory Geometric Topology 20E08, 20F65 We prove an accessibility theorem for finite-index splittings of groups. Given a finitely presented group G there is a number n(G) such that, for every reduced locally finite G-tree T with finitely generated stabilizers, T/G has at most n(G) vertices and edges. We also show that deformation spaces of locally finite trees (with finitely generated stabilizers) are maximal in the partial ordering of domination of G-trees. |
| title | Finite-index accessibility of groups |
| topic | Group Theory Geometric Topology 20E08, 20F65 |
| url | https://arxiv.org/abs/2404.10184 |