7.10 (1980)

Open

Prove or disprove the conjecture of P. Cameron (Bull. London Math. Soc., 13, no. 1 (1981), 1–22): if $G$ is a finite primitive permutation group of subrank $m$, then either the rank of $G$ is bounded by a function of $m$ or the order of a point stabilizer is at most $m$. The subrank of a transitive permutation group is defined to be the maximum rank of the transitive constituents of a point stabilizer.

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