This article is cited in 9 papers

Finiteness of Some Sharply Doubly Transitive Groups

N. M. Suchkov

Krasnoyarsk State University

Abstract: Let $G$ be a doubly transitive permutation group such that its point stabilizer is a 2-group and its two-point stabilizer is trivial. It is proved that $G$ is finite and isomorphic to a Frobenius group of order $3^2\cdot 2^3$ or $p\cdot 2^n$, where $p=2^n+1$ is a Fermat prime.

Keywords: doubly transitive permutation group, stabilizer, Frobenius group.

UDC: 512.544

Received: 22.02.2000
Revised: 25.01.2000

 English version: Algebra and Logic, 2001, 40:3, 190–193

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