How to recover a permutation group amidst errors

Taylor Brysiewicz; Juhee Kim

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arXiv · 2602.23505

How to recover a permutation group amidst errors

Taylor Brysiewicz·Juhee Kim

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Abstract

We consider the problem of recovering a permutation group $G \leq S_n$ from an error-prone sampling process $X$. We model $X$ as an $S_n$-valued random variable, defined as a mixture of the uniform distributions on $G$ and $S_n$ . Our suite of tools recovers properties of $G$ from $X$ and bolsters our main method for recovering $G$ itself. Our algorithms are motivated by the numerical computation of monodromy groups, a setting where such error-prone sampling procedures occur organically.

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Taylor Brysiewicz, Juhee Kim. 2026-02-26. How to recover a permutation group amidst errors. https://arxiv.org/abs/2602.23505

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