On monotone permutations of -cyclically ordered sets
Ján Jakubík (2006)
Czechoslovak Mathematical Journal
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For an -cyclically ordered set with the -cyclic order let be the set of all monotone permutations on . We define a ternary relation on the set . Further, we define in a natural way a group operation (denoted by ) on . We prove that if the -cyclic order is complete and , then is a half cyclically ordered group.