The Maximum Distinguishing Number of a Group

Let G be a group acting faithfully on a set X. The distinguishing number of the action of G on X, denoted DG(X), is the smallest number of colors such that there exists a coloring of X where no nontrivial group element induces a colorpreserving permutation of X. In this paper, we show that if G is nilpotent of class c or supersolvable of length c then G always acts with distinguishing number at

• Type: Journal
• Year: 2006
• Where: COMBINATORICS
• Authors: Melody Chan
• Keywords: COMBINATORICS 2006, Nontrivial Group Element, Set X, Smallest Number