Liftability and Contracting Property of Multi-EGS Groups
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915069021913088 |
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| author | Malik, Arsalan Akram Savchuk, Dmytro |
| author_facet | Malik, Arsalan Akram Savchuk, Dmytro |
| contents | We provide sufficient conditions for the multi-EGS groups to be liftable and thus produce new examples of groups acting transitively on regular trees of finite degree stabilizing one of the ends, whose closures are scale groups as defined by Willis. Additionally, we explicitly compute the contracting nuclei of the groups in this class. We also specialize our results to the classes of multi-edge spinal group and EGS-groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_12915 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Liftability and Contracting Property of Multi-EGS Groups Malik, Arsalan Akram Savchuk, Dmytro Group Theory Cryptography and Security We provide sufficient conditions for the multi-EGS groups to be liftable and thus produce new examples of groups acting transitively on regular trees of finite degree stabilizing one of the ends, whose closures are scale groups as defined by Willis. Additionally, we explicitly compute the contracting nuclei of the groups in this class. We also specialize our results to the classes of multi-edge spinal group and EGS-groups. |
| title | Liftability and Contracting Property of Multi-EGS Groups |
| topic | Group Theory Cryptography and Security |
| url | https://arxiv.org/abs/2412.12915 |