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1. CJM 2007 (vol 59 pp. 296)
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Bol Loops of Nilpotence Class Two Call a non-Moufang Bol loop \emph{minimally non-Moufang}
if every proper subloop is Moufang and
\emph{minimally nonassociative} if every proper subloop is
associative. We prove that these concepts are
the same for Bol loops which are nilpotent of
class two and in which certain associators square to $1$.
In the process, we derive many commutator and associator identities
which hold in such loops.
Keywords:Bol loop, Moufang loop, nilpotent, commutator, associator, minimally nonassociative Category:20N05 |