The number of symmetric colorings of the dihedral group D₃

Published in: Quaestiones Mathematicae
Volume 39 , issue 1 , 2016 , pages: 65–71

DOI: 10.2989/16073606.2015.1015646

Author(s): Iryna Kashuba Institute of Mathematics, University of S̃ao Paulo, Brazil , Yuliya Zelenyuk School of Mathematics, South Africa

Keywords: Dihedral group , symmetric coloring , optimal partition , M¨obius function , lattice of subgroups , Dihedral group , symmetric coloring , optimal partition , M¨obius function , lattice of subgroups

We compute the number of symmetric r-colorings and the number of equivalence classes of symmetric r-colorings of the dihedral group D₃.

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