Asymptotic growth of the number of Reciprocal Classes in the Hecke Groups
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| author | Das, Debattam Gongopadhyay, Krishnendu |
| author_facet | Das, Debattam Gongopadhyay, Krishnendu |
| contents | We estimate the asymptotic growth of reciprocal conjugacy classes in Hecke groups using their free product structure and word lengths of reciprocal elements. Our approach is different from other works in this direction and uses tools from basic probability theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_08449 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotic growth of the number of Reciprocal Classes in the Hecke Groups Das, Debattam Gongopadhyay, Krishnendu Group Theory Geometric Topology 11F06 We estimate the asymptotic growth of reciprocal conjugacy classes in Hecke groups using their free product structure and word lengths of reciprocal elements. Our approach is different from other works in this direction and uses tools from basic probability theory. |
| title | Asymptotic growth of the number of Reciprocal Classes in the Hecke Groups |
| topic | Group Theory Geometric Topology 11F06 |
| url | https://arxiv.org/abs/2506.08449 |