On Coprimality Graphs for Symmetric Groups

Abstract

For G a group, X a subset of G and π a set of positive integers we define a graph Cπ(G, X) whose vertex set is X with x, y ∈ X joined by an edge provided x = y and the order of xy is in π.

Local fusion graphs for symmetric groups

“…For further work on coprimality graphs and symmetric groups see [5], and for more recent developments on local fusion graphs see [3] and [6].…”