Geodesic
On automorphisms of commutative Moufang loops
Diskretnaya Matematika, Tome 23 (2011) no. 2, pp. 108-114

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It is proved that the automorphism group of any commutative Moufang loop $Q$ is an extension of the group $F(1)$ consisting of all automorphisms of the loop $Q$ which induce the identity mapping onto the factor-loop $Q/A(Q)$ of $Q$ by means of the automorphism group of the abelian group $Q/A(Q)$. We investigate the structure of the group $F(1)$ in the cases where the loop $Q$ is either centrally nilpotent, or finitely generated, or is a $ZA$-loop. 
@article{DM_2011_23_2_a9,
     author = {N. T. Lupas\c{c}o},
     title = {On automorphisms of commutative {Moufang} loops},
     journal = {Diskretnaya Matematika},
     pages = {108--114},
     publisher = {mathdoc},
     volume = {23},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2011_23_2_a9/}
}
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N. T. Lupasço. On automorphisms of commutative Moufang loops. Diskretnaya Matematika, Tome 23 (2011) no. 2, pp. 108-114. http://geodesic.mathdoc.fr/item/DM_2011_23_2_a9/