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SM ISO690:2012 LUPASHCO, Natalia, SANDU, Nicolae. Automorphisms of commutative Moufang loops satisfying the minimality condition. In: Mathematical Notes, 2012, vol. 91, pp. 384-398. ISSN 0001-4346. DOI: https://doi.org/10.1134/S000143461203008X |
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Mathematical Notes | ||||||
Volumul 91 / 2012 / ISSN 0001-4346 /ISSNe 1573-8876 | ||||||
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DOI:https://doi.org/10.1134/S000143461203008X | ||||||
Pag. 384-398 | ||||||
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We consider commutative Moufang loops Q with multiplicative group M satisfying the minimality condition for its subloops. Such loops, as well as the class of such loops, are characterized by various subgroups of automorphism groups Aut Q and Aut M. We study the structure of the groups Aut Q and Aut M and prove that these groups have matrix representations. |
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Cuvinte-cheie abelian group, Associator, automorphism group, Commutative Moufang loop, multiplicative group, quasicyclic group, subloop |
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