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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.00147 |
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| _version_ | 1866913181530587136 |
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| author | Chakraborty, Subhajit Tomar, Ravi |
| author_facet | Chakraborty, Subhajit Tomar, Ravi |
| contents | Suppose $G$ is a finitely generated infinite group, and $\mathcal G$ is a graph of groups decomposition of $G$ such that the edge groups are finite. This paper establishes that the topology of the Floyd boundary of $G$ is uniquely determined by the topology of the Floyd boundary of each vertex group of $\mathcal G$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00147 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Homeomorphism types of Floyd boundaries of infinite-ended groups Chakraborty, Subhajit Tomar, Ravi Group Theory 20F65, 20F67 Suppose $G$ is a finitely generated infinite group, and $\mathcal G$ is a graph of groups decomposition of $G$ such that the edge groups are finite. This paper establishes that the topology of the Floyd boundary of $G$ is uniquely determined by the topology of the Floyd boundary of each vertex group of $\mathcal G$. |
| title | Homeomorphism types of Floyd boundaries of infinite-ended groups |
| topic | Group Theory 20F65, 20F67 |
| url | https://arxiv.org/abs/2401.00147 |