Geodesic
Moufang semidirect products of loops with groups and inverse property extensions
Commentationes Mathematicae Universitatis Carolinae, Tome 55 (2014) no. 3, pp. 411-420

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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, J. Algebra Appl. 13 (2014), no. 4, 1350128], but from an external point of view.
Classification : 20N05
Keywords: extensions; semidirect products; Moufang loops; inverse property loops 
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Greer, Mark; Raney, Lee. Moufang semidirect products of loops with groups and inverse property extensions. Commentationes Mathematicae Universitatis Carolinae, Tome 55 (2014) no. 3, pp. 411-420. http://geodesic.mathdoc.fr/item/CMUC_2014__55_3_a9/