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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/2307.01826 |
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| _version_ | 1866916729796427776 |
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| author | Uruburu, Nicolás Mayorga Pacetti, Ariel Vendramin, Leandro |
| author_facet | Uruburu, Nicolás Mayorga Pacetti, Ariel Vendramin, Leandro |
| contents | We present a method to compute finite index subgroups of $PSL_2(\mathbb{Z})$. Our strategy follows Kulkarni's ideas, the main contribution being a recursive method to compute bivalent trees and their automorphism group. As a concrete application, we compute all subgroups of index up to 20. We then use this database to produce tables with several arithmetical properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_01826 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On computing finite index subgroups of PSL(2,Z) Uruburu, Nicolás Mayorga Pacetti, Ariel Vendramin, Leandro Number Theory Group Theory 11F06, 05C85 We present a method to compute finite index subgroups of $PSL_2(\mathbb{Z})$. Our strategy follows Kulkarni's ideas, the main contribution being a recursive method to compute bivalent trees and their automorphism group. As a concrete application, we compute all subgroups of index up to 20. We then use this database to produce tables with several arithmetical properties. |
| title | On computing finite index subgroups of PSL(2,Z) |
| topic | Number Theory Group Theory 11F06, 05C85 |
| url | https://arxiv.org/abs/2307.01826 |