2 papers
math.GR2008
When is a Bol loop Moufang?
Orin Chein, Edgar G. Goodaire, Michael Kinyon
There are a number of identities which, if satisfied by a Bol loop, imply that the loop is actually Moufang. In this paper we show that in a number of cases, the Moufang identity i…
math.GR2002
Loops and the Lagrange property
Orin Chein, Michael K. Kinyon, Andrew Rajah +1
Let $\cF$ be a family of finite loops closed under subloops and factor loops. Then every loop in $\cF$ has the strong Lagrange property if and only if every simple loop in $\cF$ ha…