On distinguishing labelling of groups for the conjugation action
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DOI:
https://doi.org/10.26637/mjm1101/007Abstract
In this paper, the conjugation action of various classes of groups on themselves is studied to obtain their distinguishing numbers along with a distinguishing labeling for the said action. An equivalent condition concerning the existence of a 2-distinguishing labeling for the action of a group \(G\) on a \(G\)-set \(X\) and a partition of \(X\) into two subsets is established. Also, the distinguishing number for the conjugation action of a group acting on itself is completely characterized.
Keywords:
Distinguishing number, Distinguishing group actions, Distinguishing labeling of setsMathematics Subject Classification:
05C25, 05C78, 20D60- Pages: 94-106
- Date Published: 01-01-2023
- Vol. 11 No. 01 (2023): Malaya Journal of Matematik (MJM)
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Copyright (c) 2023 Madhu Bala Dadhwal, Pankaj
This work is licensed under a Creative Commons Attribution 4.0 International License.
