Profinite genus of HNN-extensions with finite associated subgroups
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866915732174929920 |
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| author | de Bessa, V. R. Porto, A. L. P. Zalesskii, P. A. |
| author_facet | de Bessa, V. R. Porto, A. L. P. Zalesskii, P. A. |
| contents | We study the profinite genus of HNN-extensions whose associated subgroups are finite. We give precise formulas for the number of isomorphism classes of HNN(G,H,K,t,f) and of its profinite completion and compute the profinite genus of such an HNN-extension HNN(G,H,K,t,f). We also list various situations when HNN(G,H,K,t,f) is determined by its profinite completion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_06934 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Profinite genus of HNN-extensions with finite associated subgroups de Bessa, V. R. Porto, A. L. P. Zalesskii, P. A. Group Theory 20E18, 20E08, 20E06, 20E34 We study the profinite genus of HNN-extensions whose associated subgroups are finite. We give precise formulas for the number of isomorphism classes of HNN(G,H,K,t,f) and of its profinite completion and compute the profinite genus of such an HNN-extension HNN(G,H,K,t,f). We also list various situations when HNN(G,H,K,t,f) is determined by its profinite completion. |
| title | Profinite genus of HNN-extensions with finite associated subgroups |
| topic | Group Theory 20E18, 20E08, 20E06, 20E34 |
| url | https://arxiv.org/abs/2601.06934 |