Title

Moufang semidirect products of loops with groups and inverse property extensions

Document Type

Article

Publication Date

1-1-2014

Abstract

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.

Publication Title

Commentationes Mathematicae Universitatis Carolinae

This document is currently not available here.

Share

COinS