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math.GR2006★ 9 cited
F-quasigroups isotopic to groups
Tomaš Kepka, Michael K. Kinyon, J. D. Phillips
In math.GR/0510298, we showed that every loop isotopic to an F-quasigroup is a Moufang loop. Here we characterize, via two simple identities, the class of F-quasigroups which are i…
math.GR2006
When is the commutant of a Bol loop a subloop?
Michael K. Kinyon, J. D. Phillips, Petr Vojtěchovský
A left Bol loop is a loop satisfying . The commutant of a loop is the set of elements which commute with all elements of the loop. In a finite Bol loop of odd…