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arXiv · 2510.03210

The Yang-Baxter Equation and Characteristic Finite Simple Quotients of the Free Group of Rank $2$

Liam Hanany
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Abstract

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

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Liam Hanany. 2025-10-03. The Yang-Baxter Equation and Characteristic Finite Simple Quotients of the Free Group of Rank $2$. https://arxiv.org/abs/2510.03210

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