Unipotent quasigroups

Tomáš Kepka; P. Němec

Displaying similar documents to “Unipotent quasigroups”

On $B^{*}$ -quasigroups.

Beg, Afzal (1998)

Bulletin of the Malaysian Mathematical Society. Second Series

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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...

On quasiidentities of transitive quasigroups

Ján Duplák (1984)

Mathematica Slovaca

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On the structure of finite paramedial quasigroups

V. A. Shcherbacov, D. I. Pushkashu (2010)

Commentationes Mathematicae Universitatis Carolinae

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Information on the structure of finite paramedial quasigroups, including a classification of finite simple paramedial quasigroups, is given. The problem ``Classify the finite simple paramedial quasigroups'' was posed by J. Ježek and T. Kepka at the conference LOOPS'03, Prague 2003.

$F$ -quasigroups isotopic to Moufang loops

Tomáš Kepka (1979)

Czechoslovak Mathematical Journal

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Displaying similar documents to “Unipotent quasigroups”

On B * -quasigroups.

F-quasigroups isotopic to groups

On quasiidentities of transitive quasigroups

On the structure of finite paramedial quasigroups

F -quasigroups isotopic to Moufang loops

On $B^{*}$ -quasigroups.

$F$ -quasigroups isotopic to Moufang loops