Geodesic
On finite loops whose inner mapping groups have small orders
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 3, pp. 651-654.

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We investigate the situation that the inner mapping group of a loop is of order which is a product of two small prime numbers and we show that then the loop is soluble.
Classification : 20B25, 20D10, 20N05
Keywords: solvability; loop; group 
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Niemenmaa, Markku. On finite loops whose inner mapping groups have small orders. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 3, pp. 651-654. http://geodesic.mathdoc.fr/item/CMUC_1996__37_3_a22/