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On cosets in Steiner loops
Authors: Aleš Drápal, Terry S. Griggs
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Abstract
We give a complete answer to the question of when the cosets of a Steiner subloop $\bar{W}$ of a Steiner loop $\bar{V}$ form a partition of $\bar{V}$. We also determine when $\bar{W}$ is a normal subloop of $\bar{V}$.Aleš Drápal
Department of Algebra
Charles University
Sokolovská 83
186 75 Praha 8, CZECH REPUBLIC
E-mail: Terry S. Griggs
Department of Mathematics and Statistics
The Open University
Walton Hall
Milton Keynes MK7 6AA, UNITED KINGDOM
E-mail:
Department of Algebra
Charles University
Sokolovská 83
186 75 Praha 8, CZECH REPUBLIC
E-mail: Terry S. Griggs
Department of Mathematics and Statistics
The Open University
Walton Hall
Milton Keynes MK7 6AA, UNITED KINGDOM
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
