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IMI/Publicaţii/BASM/Ediţii/BASM n.3 (49), 2005/

A loop transversal in a sharply 2-transitive permutation loop.

Authors: Cuzneţov Eugeniu

Abstract

The well-known theorem of M.Hall about the description of a finite sharply 2-transitive permutation group is generalized for the case of permutation loops. It is shown that the identity permutation with the set of all fixed-point-free permutations in a finite sharply 2-transitive permutation loop forms a loop transversal by its proper subloop -- a stabilizator of one symbol.

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