The Structure of F-Quasigroups
  We solve a problem of Belousov which has been open since 1967: to characterize the loop isotopes of F-quasigroups. We show that every F-quasigroup has a Moufang loop isotope which is a central product of its nucleus and Moufang center. We then use the loop to reveal the structure of the associated F-quasigroup. 
Tom\'a\v{s} Kepka, Michael K. Kinyon, and J. D. Phillips