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 SM ISO690:2012LUPASHCO, N.. On commutative Moufang loops with some restrictions for subgroups of its multiplication groups. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2006, nr. 2(51), pp. 95-101. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 2(51) / 2006 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 95-101 | ||||||
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Let M be the multiplication group of a commutative Moufang loop Q. In this paper it is proved that if all infinite abelian subgroups of M are normal in M, then Q is associative. If all infinite nonabelian subgroups of M are normal in M, then all nonassociative subloops of Q are normal in Q, all nonabelian subgroups of M are normal in M and the commutator subgroup M′ is a finite 3-group. |
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| Cuvinte-cheie Commutative Moufang loop, minimum condition, multiplication IH-group, multiplication IH-group, metahamiltonian group. |
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