On approximation of locally compact groups by finite algebraic systems.
Glebsky, L.Yu., Gordon, E.I. (2004)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Displaying similar documents to “On approximation of amenable groups by finite quasigroups.”
On approximation of locally compact groups by finite algebraic systems.
F-quasigroups isotopic to groups
Tomáš Kepka, Michael K. Kinyon, Jon D. Phillips (2010)
Commentationes Mathematicae Universitatis Carolinae
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In Kepka T., Kinyon M.K., Phillips J.D., , , 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 isotopic to groups. We call these quasigroups FG-quasigroups. We show that FG-quasigroups are linear over groups. We then use this fact to describe their structure. This gives us, for instance, a complete description of the simple FG-quasigroups. Finally, we show an equivalence of equational...
Multiplication groups of free loops. II
Aleš Drápal (1996)
Czechoslovak Mathematical Journal
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Infinitary Quasigroups
Belousov D. Valentin, Stojaković M. Zoran (1976)
Zbornik Radova
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The table of characters of some quasigroups
Grzegorz Bińczak, Joanna Kaleta (2007)
Discussiones Mathematicae - General Algebra and Applications
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It is known that (ℤₙ,-ₙ) are examples of entropic quasigroups which are not groups. In this paper we describe the table of characters for quasigroups (ℤₙ,-ₙ).
The endocenter and its applications to quasigroup representation theory
Jon D. Phillips, Jonathan D. H. Smith (1991)
Commentationes Mathematicae Universitatis Carolinae
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A construction is given, in a variety of groups, of a ``functorial center'' called the endocenter. The endocenter facilitates the identification of universal multiplication groups of groups in the variety, addressing the problem of determining when combinatorial multiplication groups are universal.