On the boundary criterion for relative cubulation: multi-ended parabolics
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912039951138816 |
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| author | Einstein, Eduard MS, Suraj Krishna Ng, Thomas |
| author_facet | Einstein, Eduard MS, Suraj Krishna Ng, Thomas |
| contents | In this note, we clarify that the boundary criterion for relative cubulation of the first author and Groves works even when the peripheral subgroups are not one-ended. Specifically, if the boundary criterion is satisfied for a relatively hyperbolic group, we show that, up to taking a refined peripheral structure, the group admits a relatively geometric action on a CAT(0) cube complex. We anticipate that this refinement will be useful for constructing new relative cubulations in a variety of settings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_14290 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the boundary criterion for relative cubulation: multi-ended parabolics Einstein, Eduard MS, Suraj Krishna Ng, Thomas Group Theory Geometric Topology In this note, we clarify that the boundary criterion for relative cubulation of the first author and Groves works even when the peripheral subgroups are not one-ended. Specifically, if the boundary criterion is satisfied for a relatively hyperbolic group, we show that, up to taking a refined peripheral structure, the group admits a relatively geometric action on a CAT(0) cube complex. We anticipate that this refinement will be useful for constructing new relative cubulations in a variety of settings. |
| title | On the boundary criterion for relative cubulation: multi-ended parabolics |
| topic | Group Theory Geometric Topology |
| url | https://arxiv.org/abs/2409.14290 |