A pinboard by
Garba Gambo Zaku

Ph.D Student, Universiti Sains Malaysia, Pulau Penang, Malaysia.


We classify properties of Moufang loops that differ from those of groups.

All groups are Moufang loops but there exist Moufang loops that are not groups simply because they are not associative in general. Groups are easier to handle. Due to their associative property many theorems about groups abound. However there exist Moufang loops that are not necessarily governed by the same theorems. But nevertheless some of these theorems are surprisingly also satisfy by all Moufang loops. We try to establish those theorems that do. We also categorize Moufang loops, particularly by their order, that will not satisfy those theorems.