A loop transversal in a sharply 2-transitive permutation loop
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KUZNETSOV, Eugene. A loop transversal in a sharply 2-transitive permutation loop. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2005, nr. 3(49), pp. 101-114. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 3(49) / 2005 / ISSN 1024-7696 /ISSNe 2587-4322

A loop transversal in a sharply 2-transitive permutation loop

Pag. 101-114

Kuznetsov Eugene
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 3 mai 2016


Rezumat

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.

Cuvinte-cheie
quasigroup, loop,

transversal,

projective plane.