GROUPS WITH TRIALITY

ALEXANDER N. GRISHKOV, ANDREI V. ZAVARNITSINE
2006 Journal of Algebra and its Applications  
Groups with triality, which arose in the papers of Glauberman and Doro, are naturally connected with Moufang loops. In this paper, we describe all possible, in a sense, groups with triality associated with a given Moufang loop. We also introduce several universal groups with triality and discuss their properties.
doi:10.1142/s021949880600182x fatcat:qd7r2jcefbc4vecbbb4ivfploy