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Ultima descărcare din IBN: 2021-12-18 13:30 |
SM ISO690:2012 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 | ||||||
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Pag. 101-114 | ||||||
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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. |
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Cuvinte-cheie quasigroup, loop, transversal, projective plane. |
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