Moufang semidirect products of loops with groups and inverse property extensions
We investigate loops which can be written as the semidirect product of a loop and a group, and we provide a necessary and sufficient condition for such a loop to be Moufang. We also examine a class of loop extensions which arise as a result of a finite cyclic group acting as a group of semiautomorphisms on an inverse property loop. In particular, we consider closure properties of certain extensions similar to those as in [S. Gagola III, Cyclic extensions of Moufang loops induced by semiautomorphisms, but from an external point of view.
Commentationes Mathematicae Universitatis Carolinae
Greer, M., & Raney, L. (2014). Moufang semidirect products of loops with groups and inverse property extensions. Commentationes Mathematicae Universitatis Carolinae. Retrieved from https://ir.una.edu/eng_facpub/4