Přemysl Jedlička
Odd order semidirect extensions of commutative automorphic loops

Comment.Math.Univ.Carolin. 55,4 (2014) 447-456.

Abstract:We analyze semidirect extensions of middle nuclei of commutative automorphic loops. We find a less complicated conditions for the semidirect construction when the middle nucleus is an odd order abelian group. We then use the description to study extensions of orders~$3$ and~$5$.

Keywords: automorphic loop; semidirect product; middle nucleus; cyclic group
AMS Subject Classification: 20N05