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arXiv · 2202.03746

Two-closure of rank 3 groups in polynomial time

Saveliy V. Skresanov
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Abstract

A finite permutation group $G$ on $\Omega$ is called a rank 3 group if it has precisely three orbits in its induced action on $\Omega \times \Omega$. The largest permutation group on $\Omega$ having the same orbits as $G$ on $\Omega \times \Omega$ is called the 2-closure of $G$. We construct a polynomial-time algorithm which given generators of a rank 3 group computes generators of its 2-closure.

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Saveliy V. Skresanov. 2022-02-08. Two-closure of rank 3 groups in polynomial time. https://arxiv.org/abs/2202.03746

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