Abstract
It is known that Moufang loops are closely related to groups as they have many properties in common. For instance, they both have an inverse for each element and satisfy Lagrange's theorem. In this paper, we study the properties of a class of Moufang loops which are not groups, but all their proper subloops and proper quotient loops are groups.
Received: 2011-3-09
Revised: 2011-6-16
Published Online: 2012-1-1
Published in Print: 2012-1-1
© de Gruyter 2011