You are here: MIMS > EPrints
MIMS EPrints

## 2010.64: On Coprimality Graphs for Symmetric Groups

2010.64: John J Ballantyne, Nicholas M Greer and Peter J Rowley (2012) On Coprimality Graphs for Symmetric Groups. Graphs and Combinatorics.

Full text available as:

 PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader290 Kb

## Abstract

For a group $G$, $X$ a subset of $G$ and $\pi$ a set of positive integers we define a graph $\mathcal{C}_\pi(G,X)$ whose vertex set is $X$ with $x, y \in X$ joined by an edge provided $x \neq y$ and the order of $xy$ is in $\pi$. Here we investigate $\mathcal{C}_\pi(G,X)$ when $G$ is a finite symmetric group and $X$ is a $G$-conjugacy class of elements of order $p$, $p$ a prime.

Item Type: Article Symmetric Group; Graph; Coprime; Order; Diameter MSC 2000 > 20 Group theory and generalizations 2010.64 Dr John Ballantyne 09 November 2012