Geodesic
Finiteness of Some Sharply Doubly Transitive Groups
Algebra i logika, Tome 40 (2001) no. 3, pp. 344-351

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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
Mots-clés : Frobenius group. 
@article{AL_2001_40_3_a6,
     author = {N. M. Suchkov},
     title = {Finiteness of {Some} {Sharply} {Doubly} {Transitive} {Groups}},
     journal = {Algebra i logika},
     pages = {344--351},
     publisher = {mathdoc},
     volume = {40},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2001_40_3_a6/}
}
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N. M. Suchkov. Finiteness of Some Sharply Doubly Transitive Groups. Algebra i logika, Tome 40 (2001) no. 3, pp. 344-351. http://geodesic.mathdoc.fr/item/AL_2001_40_3_a6/