Minimal Faithful Permutation Degrees for Irreducible Coxeter Groups and Binary Polyhedral Groups

2008/11/30 by Saunders, Neil
#20B35 #20F55 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.0812.0182

Abstract

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.

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