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http://dx.doi.org/10.4134/BKMS.2013.50.2.667

COMPATIBILITY IN CERTAIN QUASIGROUP HOMOGENEOUS SPACE  

Im, Bokhee (Department of Mathematics Chonnam National University)
Ryu, Ji-Young (Department of Mathematics Chonnam National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.2, 2013 , pp. 667-674 More about this Journal
Abstract
Considering a special double-cover Q of the symmetric group of degree 3, we show that a proper non-regular approximate symmetry occurs from its quasigroup homogeneous space. The weak compatibility of any two elements of Q is completely characterized in any such quasigroup homogeneous space of degree 4.
Keywords
quasigroup; Latin square; action matrix; quasigroup action; homogeneous space; approximate symmetry; intercalate; compatibility;
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