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A Characterization of the Sharply 3-transitive Finite Permutation Groups

Arrigo Bonisoli - No affiliation found

1990/05/01 Full-length article DOI: 10.1016/S0195-6698(13)80121-7 Journal: European Journal of Combinatorics

Abstract:

Generalizing a result by N. Percsy, we prove a sufficient condition for a sharply 3-transitive finite permutation set with identity to be a group; the proof makes use of M. J. Kallaher's theorem on finite Bol quasifields.