Loops with Transitive Automorphisms Original Research Article

It is shown that isotopic loops with transitive automorphism groups are in fact isomorphic. A classification of loops with transitive automorphism groups is given. This classification is compared to one given by Barlotti and Strambach (1983) for loops with sharply transitive automorphism groups, and examples of several of the classes are presented. The approach is entirely algebraic.