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Classification of finite groupoids with 2-transitive automorphism group
Sbornik. Mathematics, Tome 82 (1995) no. 1, pp. 175-197 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of describing the binary algebraic operations $\cdot$, defined on a finite set $X$, such that the automorphism group of the groupoid $(X,\,\cdot\,)$ is 2-transitive on $X$ is considered. 
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A. P. Il'inykh. Classification of finite groupoids with 2-transitive automorphism group. Sbornik. Mathematics, Tome 82 (1995) no. 1, pp. 175-197. http://geodesic.mathdoc.fr/item/SM_1995_82_1_a7/

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