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 languageEnglish
Pages (from-to)805
Number of pages832
JournalJournal of Group Theory
Volume17
Issue number5
Early online date3 Mar 2014
DOIs
Publication statusPublished - Sep 2014

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