Triality and universal multiplication groups of Moufang loops

J. D. Phillips

Department of Mathematics & Computer Science, Northern Michigan University, Marquette, MI 49855, USA

Abstract: We investigate the triality status of combinatorial and universal multiplication groups of various classes of Moufang loops. We also investigate whether some of these are, qua Doro, the largest and smallest groups with triality associated with a given Moufang loop.

Keywords and phrases: Moufang loop, group with triality, universal multiplication group.

MSC: 20N05

Received: 20.01.2016

Language: English