The Structure of F-Quasigroups

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dc.creatorKepka, Tomáš
dc.creatorKinyon, Michael K.
dc.creatorPhillips, J. D.
dc.date2005-10-14
dc.date2007-03-16
dc.date.accessioned2026-07-07T08:54:24Z
dc.date.available2026-07-07T08:54:24Z
dc.descriptionWe 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.
dc.description24 pages. v.2 incorporates minor changes suggested by the referee. To appear in the Journal of Algebra
dc.identifierhttps://arxiv.org/abs/math/0510298
dc.identifierhttp://arxiv.org/abs/math/0510298
dc.identifierJ. Algebra 317 (2007), 435-461
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145921
dc.subjectGroup Theory
dc.subject20N05
dc.titleThe Structure of F-Quasigroups
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