Minimal Faithful Permutation Degrees for Irreducible Coxeter Groups

Neil Saunders

Abstract

The minimal faithful degree of a finite group G, denoted by μ(G), is the least non-negative integer n such that G embeds inside Sym(n). In this article we calculate the minimal faithful permutation degree for all of the irreducible Coxeter groups.

Keywords: Minimal Faithful Permutation Representations, Coxeter Groups.

AMS Subject Classification: Primary 20B35; secondary 20F55.