Description of the first disc Δ1(t) of the commuting graph C(G, X) for elements of order three in symmetric groups

• Main Authors: Nawawi, Athirah, Rowley, Peter J.
• Format: Conference or Workshop Item
• Language: English
• Published: AIP Publishing 2016
• Online Access: http://psasir.upm.edu.my/id/eprint/57173/1/Description%20of%20the%20first%20disc%20%CE%941%28t%29%20of%20the%20commuting%20graph%20C%28G%2C%20X%29%20for%20elements%20of%20order%20three%20in%20symmetric%20groups.pdf; http://psasir.upm.edu.my/id/eprint/57173/; http://aip.scitation.org/doi/abs/10.1063/1.4952544

The commuting graph C(G, X), where G is a finite group and X is a subset of G, is the graph whose vertex set is X and two distinct elements of X being joined by an edge whenever they commute in the group G. Here the CG(t)-orbit representatives and the number of elements in the first disc Δ1(t) of C(...