Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2016, Number 1, Pages 24–40 (Mi basm407)  
This article is cited in 3 scientific papers (total in 3 papers)

Central and medial quasigroups of small order

David Stanovskýa, Petr Vojtěchovskýb

a Department of Algebra, Charles University, Sokolovská 83, 186 75 Praha 8, CZECH REPUBLIC
b Department of Mathematics, University of Denver, 2280 S Vine St, Denver, Colorado 80208, U.S.A.
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Abstract: We enumerate central and medial quasigroups of order less than $128$ up to isomorphism, with the exception of those quasigroups that are isotopic to $C_4\times C_2^4$, $C_2^6$, $C_3^4$ or $C_5^3$. We give an explicit formula for the number of quasigroups that are affine over a finite cyclic group.
Keywords and phrases: medial quasigroup, entropic quasigroup, central quasigroup, $\mathrm T$-quasigroup, abelian quasigroup, quasigroup affine over abelian group, abelian algebra, affine algebra, classification of quasigroups, enumeration of quasigroups.
Funding agency Grant number
GAČR 13-01832S
Simons Foundation 210176
University of Denver PROF
Research partially supported by the GAČR grant 13-01832S (Stanovský), the Simons Foundation Collaboration Grant 210176 (Vojtěchovský) and the University of Denver PROF grant (Vojtěchovský).
Received: 11.11.2015
MSC: 20N05, 05A15
Language: English
Citation: David Stanovský, Petr Vojtěchovský, “Central and medial quasigroups of small order”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2016, no. 1, 24–40
Citation in format AMSBIB
\Bibitem{StaVoj16}
\by David~Stanovsk\'y, Petr~Vojt{\v e}chovsk\'y
\paper Central and medial quasigroups of small order
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2016
\issue 1
\pages 24--40
\mathnet{http://mi.mathnet.ru/basm407}
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    • This publication is cited in the following 3 articles:
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    		Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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