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COMPATIBILITY IN CERTAIN QUASIGROUP HOMOGENEOUS SPACE

  • Received : 2012.01.06
  • Published : 2013.03.31

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

References

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Acknowledgement

Supported by : National Research Foundation of Korea(NRF)