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arXiv · 2012.05547

On the number of conjugacy classes of a primitive permutation group with nonabelian socle

Daniele Garzoni·Nick Gill
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Abstract

Let $G$ be a primitive permutation group of degree $n$ with nonabelian socle, and let $k(G)$ be the number of conjugacy classes of $G$. We prove that either $k(G)<n/2$ and $k(G)=o(n)$ as $n\rightarrow \infty$, or $G$ belongs to explicit families of examples.

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Daniele Garzoni, Nick Gill. 2020-12-10. On the number of conjugacy classes of a primitive permutation group with nonabelian socle. https://arxiv.org/abs/2012.05547

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