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The Structure of F-Quasigroups

Tomáš Kepka·Michael K. Kinyon·J. D. Phillips
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Abstract

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.

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Tomáš Kepka, Michael K. Kinyon, J. D. Phillips. 2007-03-16. The Structure of F-Quasigroups. https://arxiv.org/abs/math/0510298

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