On Whitehead's cut vertex lemma
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909450593370112 |
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| author | Lyman, Rylee Alanza |
| author_facet | Lyman, Rylee Alanza |
| contents | One version of Whitehead's famous cut vertex lemma says that if an element of a free group is part of a free basis, then a certain graph associated to its conjugacy class that we call the star graph is either disconnected or has a cut vertex. We state and prove a version of this lemma for conjugacy classes of elements and convex-cocompact subgroups of groups acting cocompactly on trees with finitely generated edge stabilizers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_06071 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On Whitehead's cut vertex lemma Lyman, Rylee Alanza Group Theory Geometric Topology 20F65, 20E08, 20E36 One version of Whitehead's famous cut vertex lemma says that if an element of a free group is part of a free basis, then a certain graph associated to its conjugacy class that we call the star graph is either disconnected or has a cut vertex. We state and prove a version of this lemma for conjugacy classes of elements and convex-cocompact subgroups of groups acting cocompactly on trees with finitely generated edge stabilizers. |
| title | On Whitehead's cut vertex lemma |
| topic | Group Theory Geometric Topology 20F65, 20E08, 20E36 |
| url | https://arxiv.org/abs/2205.06071 |