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arXiv · 2002.01377

Normalisers of primitive permutation groups in quasipolynomial time

Colva Roney-Dougal·Sergio Siccha
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Abstract

We show that given generators for subgroups $G$ and $H$ of $\mathrm{S}_n$, if $G$ is primitive then generators for $\mathrm{N}_H(G)$ may be computed in quasipolynomial time, namely $2^{O(\log^3 n)}$. The previous best known bound was simply exponential.

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Colva Roney-Dougal, Sergio Siccha. 2020-02-04. Normalisers of primitive permutation groups in quasipolynomial time. https://doi.org/10.1112/blms.12330

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