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  "body": "\n## Statement\n\nIn mathematics, the **Sims conjecture** is a result in group theory, originally proposed by Charles Sims. He conjectured that if $G$ is a primitive permutation group on a finite set $S$ and $G_\\alpha$ denotes the stabilizer of the point $\\alpha$ in $S$, then there exists an [[integer|0C4JS9RF5M]]-valued [[function|0EPAT51DXQ]] $f$ such that $f(d) \\geq |G_\\alpha|$ for $d$ the length of any orbit of $G_\\alpha$ in the set $S \\setminus \\{\\alpha\\}$.\n",
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