Automorphisms of commutative Moufang loops satisfying the minimality condition
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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

Automorphisms of commutative Moufang loops satisfying the minimality condition

DOI:https://doi.org/10.1134/S000143461203008X

Pag. 384-398

Lupashco Natalia, Sandu Nicolae
 
Tiraspol State University
 
 
Disponibil în IBN: 13 februarie 2024


Rezumat

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. 

Cuvinte-cheie
abelian group, Associator, automorphism group, Commutative Moufang loop, multiplicative group, quasicyclic group, subloop