Parafree graphs of groups with cyclic edge groups
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866916142978695168 |
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| author | Jaikin-Zapirain, Andrei Morales, Ismael |
| author_facet | Jaikin-Zapirain, Andrei Morales, Ismael |
| contents | We establish a combination theorem for parafree groups. These groups were introduced by Baumslag in the sixties. One of the current motivations for a better understanding of their structure is that they show up naturally in connection with Remeslennikov's conjecture on the profinite rigidity of free groups. In this article, we determine when the fundamental group of a finite graph of groups with cyclic edge groups is parafree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_11655 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Parafree graphs of groups with cyclic edge groups Jaikin-Zapirain, Andrei Morales, Ismael Group Theory 20E26, 20E06 (Primary), 20J05, 16K40, 20C07, 20E18 (Secondary) We establish a combination theorem for parafree groups. These groups were introduced by Baumslag in the sixties. One of the current motivations for a better understanding of their structure is that they show up naturally in connection with Remeslennikov's conjecture on the profinite rigidity of free groups. In this article, we determine when the fundamental group of a finite graph of groups with cyclic edge groups is parafree. |
| title | Parafree graphs of groups with cyclic edge groups |
| topic | Group Theory 20E26, 20E06 (Primary), 20J05, 16K40, 20C07, 20E18 (Secondary) |
| url | https://arxiv.org/abs/2110.11655 |