Geodesic
On the solvability of commutative loops and their multiplication groups
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 2, pp. 209-213 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
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     year = {1999},
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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/