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IMI/Publicaţii/QRS/Ediţii/QRS v.1, n.1 (1), 1994/

Sharply double transitive sets of permutations and loop transversals in S_n

Authors: Cuzneţov Eugeniu

Abstract

The work is devoted to the investigation of sharply k-transitive sets of permutations witch are a natural generalization of sharply k-transitive groups. Its main result is the establishment of the connection between such notions as sherply k-transitive sets of permutations, sharply k-transitive loops of permutations (introduced by F.Bonetti, G.Lunardon and K.Strambach) and loop transversals.

Cuzneţov Eugeniu Ph.D.
departament of quasigroup theory,
Imstitute of Sciences of Moldova,
5, Academiei str.,
Chisinau, 277028,
Moldova

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