Aleš Drápal
Moufang loops of order coprime to three that cyclically extend groups of dihedral type

Comment.Math.Univ.Carolin. 57,4 (2016) 453-500.

Abstract:This paper completely solves the isomorphism problem for Moufang loops $Q = GC$ where $G\unlhd Q$ is a noncommutative group with cyclic subgroup of index two and $|Z(G)| \le 2$, $C$ is cyclic, $G\cap C = 1$, and $Q$ is finite of order coprime to three.

Keywords: dihedral group; Moufang loop; cyclic extension; semidirect product

DOI: DOI 10.14712/1213-7243.2015.187
AMS Subject Classification: 20N05