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Central and medial quasigroups of small order
Authors: David Stanovský, Petr Vojtŏchovský
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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 C4 X C24, C26, C34 or C53. We give an explicit formula for the number of quasigroups that are affine over a finite cyclic group.David Stanovský
Department of Algebra
Charles University
Sokolovská 83
186 75 Praha 8, CZECH REPUBLIC
E-mail: Petr Vojtŏchovský
Department of Mathematics
University of Denver
2280 S Vine St
Denver, Colorado 80208, U.S.A.
E-mail:
Department of Algebra
Charles University
Sokolovská 83
186 75 Praha 8, CZECH REPUBLIC
E-mail: Petr Vojtŏchovský
Department of Mathematics
University of Denver
2280 S Vine St
Denver, Colorado 80208, U.S.A.
E-mail:
Fulltext
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Contents
- Valentin Belousov (20.02.1925 - 23.07.1988)
- Belousov's Theorem and the quantum Yang-Baxter equation
- Central and medial quasigroups of small order
- Algebras with Parastrophically Uncancellable Quasigroup Equations
- Linear groups that are the multiplicative groups of neofields
- On isotopies of some classes of Moufang loops
- Doubly transitive sets of even permutations
- Triality and Universal Multiplication Groups of Moufang Loops
- On paratopies of orthogonal systems of ternary quasigroups. I
- On cosets in Steiner loops
