A survey on quasi-isometries of pairs: invariants and rigidity
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Acceso en línea: | |
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| _version_ | 1866918236872769536 |
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| author | Hughes, Sam Martínez-Pedroza, Eduardo Saldaña, Luis Jorge Sánchez |
| author_facet | Hughes, Sam Martínez-Pedroza, Eduardo Saldaña, Luis Jorge Sánchez |
| contents | This survey studies pairs $(G,\mathcal{P})$ with $G$ a finitely generated group and $\mathcal{P}$ a (finite) collection of subgroups of $G$. We explore the notion of quasi-isometry of such pairs and the notion of a qi-characteristic collection of subgroups. Both notions are abstractions of phenomena that have appeared repeatedly in the work of several people within the quasi-isometric rigidity realm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_15046 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A survey on quasi-isometries of pairs: invariants and rigidity Hughes, Sam Martínez-Pedroza, Eduardo Saldaña, Luis Jorge Sánchez Group Theory Geometric Topology Metric Geometry This survey studies pairs $(G,\mathcal{P})$ with $G$ a finitely generated group and $\mathcal{P}$ a (finite) collection of subgroups of $G$. We explore the notion of quasi-isometry of such pairs and the notion of a qi-characteristic collection of subgroups. Both notions are abstractions of phenomena that have appeared repeatedly in the work of several people within the quasi-isometric rigidity realm. |
| title | A survey on quasi-isometries of pairs: invariants and rigidity |
| topic | Group Theory Geometric Topology Metric Geometry |
| url | https://arxiv.org/abs/2112.15046 |