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

Commentationes mathematicae Universitatis Carolinae

Aleš Drápal¹ 

关键词: dihedral group;    Moufang loop;    cyclic extension;    semidirect product;   

DOI  :  10.14712/1213-7243.2015.187

学科分类：物理化学和理论化学

来源: Univerzita Karlova v Praze * Matematicko-Fyzikalni Fakulta / Charles University in Prague, Faculty of Mathematics and Physics

【 摘 要 】

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.

【 授权许可】

CC BY