Minimal faithful permutation degrees for irreducible Coxeter groups and binary polyhedral groups

Neil J Saunders

Research output: Contribution to journalArticle (Academic Journal)

Abstract

The minimal faithful permutation degree of a finite group G, denoted by \mu(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. We also exhibit new examples of finite groups that possess a quotient whose minimal degree is strictly greater than that of the group.
Original language English 805 832 Journal of Group Theory 17 5 3 Mar 2014 https://doi.org/10.1515/jgt-2014-0012 Published - Sep 2014