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9.69 (1984)

Open

(P. Cameron). Let $G$ be a finite primitive permutation group and suppose that the stabilizer $G_\alpha$ of a point $\alpha$ induces on some of its orbits $\Delta \neq \{\alpha\}$ a regular permutation group. Is it true that $|G_\alpha| = |\Delta|$?

Contributor: A. N. Fomin

Progress

Editors’ comment: No, not always (P. Spiga, J. Group Theory, 25, no. 1 (2022), 113–126).

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