The symmetries of the Outer space of a universal Coxeter group

2020/05/12 by Yassine Guerch, Guerch, Yassine
Computer Science · Mathematics · #20E08 #20E36 #20F28 #20F55 #20F65 #Advanced Algebra and Geometry #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2005.05885

openalex publication_date 2020/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper studies the geometric rigidity of the universal Coxeter group of rank n, which is the free product W_n of n copies of ℤ/2ℤ. We prove that for n≥ 4 the group of symmetries of the spine of the Guirardel-Levitt outer space of W_n is reduced to the outer automorphism group Out(W_n).

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