Geodesic
Automorphisms of Commutative Moufang Loops Satisfying the Minimality Condition
Matematičeskie zametki, Tome 91 (2012) no. 3, pp. 407-421

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We consider commutative Moufang loops $Q$ with multiplicative group $\mathfrak{M}$ 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 $\operatorname{Aut}Q$ and $\operatorname{Aut}\mathfrak{M}$. We study the structure of the groups $\operatorname{Aut}Q$ and $\operatorname{Aut}\mathfrak{M}$ and prove that these groups have matrix representations.
Keywords: commutative Moufang loop, Abelian group, quasicyclic group
Mots-clés : automorphism group, subloop, associator, multiplicative group. 
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     author = {N. T. Lupas\c{c}o and N. I. Sandu},
     title = {Automorphisms of {Commutative} {Moufang} {Loops} {Satisfying} the {Minimality} {Condition}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {407--421},
     publisher = {mathdoc},
     volume = {91},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2012_91_3_a7/}
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N. T. Lupasço; N. I. Sandu. Automorphisms of Commutative Moufang Loops Satisfying the Minimality Condition. Matematičeskie zametki, Tome 91 (2012) no. 3, pp. 407-421. http://geodesic.mathdoc.fr/item/MZM_2012_91_3_a7/