The Yang-Baxter Equation and Characteristic Finite Simple Quotients of the Free Group of Rank $2$
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909823485870080 |
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| author | Hanany, Liam |
| author_facet | Hanany, Liam |
| contents | We show that infinitely many alternating groups arise as quotients of the free group of rank 2, with kernel a characteristic subgroup. We also show that such simple quotients exist of arbitrarily large Lie rank. This resolves two questions posed by arXiv:2308.14302 |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_03210 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Yang-Baxter Equation and Characteristic Finite Simple Quotients of the Free Group of Rank $2$ Hanany, Liam Group Theory We show that infinitely many alternating groups arise as quotients of the free group of rank 2, with kernel a characteristic subgroup. We also show that such simple quotients exist of arbitrarily large Lie rank. This resolves two questions posed by arXiv:2308.14302 |
| title | The Yang-Baxter Equation and Characteristic Finite Simple Quotients of the Free Group of Rank $2$ |
| topic | Group Theory |
| url | https://arxiv.org/abs/2510.03210 |