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Sharply double transitive sets of permutations and loop transversals in S_n
Authors: Cuzneţov Eugeniu
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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
departament of quasigroup theory,
Imstitute of Sciences of Moldova,
5, Academiei str.,
Chisinau, 277028,
Moldova
Fulltext
– 0.87 Mb
Contents
- Abelian quasigroups and T-quasigroups
- One-sided T-quasigroups and irreducible balanced identities
- Transversals in groups. Elementary properties
- Sharply double transitive sets of permutations and loop transversals in S_n
- Osborn's G-loops
- Loops with universal elasticity
- On linear isotopes of cyclic groups
- A common form for autotopies of n-ary groups with the inverse property
