M. Niemenmaa
On finite loops and their inner mapping groups

Comment.Math.Univ.Carolinae 45,2 (2004) 341-347.

Abstract: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.

Keywords: loop, group, connected transversals
AMS Subject Classification: 20D10, 20N05