Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2016, Number 1, Pages 118–124 (Mi basm411)  
On cosets in Steiner loops

Aleš Drápala, Terry S. Griggsb

a Department of Algebra, Charles University, Sokolovská 83, 186 75 Praha 8, CZECH REPUBLIC
b Department of Mathematics and Statistics, The Open University Walton Hall, Milton Keynes MK7 6AA, UNITED KINGDOM
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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 $\bar V$.
Keywords and phrases: Steiner triple system, Steiner loop, coset, normal subloop.
Received: 02.02.2016
MSC: 05B07, 20N05
Language: English
Citation: Aleš Drápal, Terry S. Griggs, “On cosets in Steiner loops”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2016, no. 1, 118–124
Citation in format AMSBIB
\Bibitem{DraGri16}
\by Ale{\v s}~Dr\'apal, Terry~S.~Griggs
\paper On cosets in Steiner loops
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2016
\issue 1
\pages 118--124
\mathnet{http://mi.mathnet.ru/basm411}
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