Geodesic
On the solvability of commutative loops and their multiplication groups
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 2, pp. 209-213.

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We investigate the situation when the inner mapping group of a commutative loop is of order $2p$, where $p=4t+3$ is a prime number, and we show that then the loop is solvable.
Classification : 20D10, 20N05
Keywords: solvability; loop; group 
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     title = {On the solvability of commutative loops and their multiplication groups},
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Myllylä, Kari; Niemenmaa, Markku. On the solvability of commutative loops and their multiplication groups. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 2, pp. 209-213. http://geodesic.mathdoc.fr/item/CMUC_1999__40_2_a1/