Geodesic
On finite loops and their inner mapping groups
Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 2, pp. 341-347.

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In this paper we consider finite loops and discuss the following problem: Which groups are (are not) isomorphic to inner mapping groups of loops? We recall some known results on this problem and as a new result we show that direct products of dihedral 2-groups and nontrivial cyclic groups of odd order are not isomorphic to inner mapping groups of finite loops.
Classification : 20D10, 20N05
Keywords: loop; group; connected transversals 
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     title = {On finite loops and their inner mapping groups},
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Niemenmaa, M. On finite loops and their inner mapping groups. Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 2, pp. 341-347. http://geodesic.mathdoc.fr/item/CMUC_2004__45_2_a13/