Geodesic
Commensurations of the outer automorphism group of a universal Coxeter group
Yassine Guerch1 orcid
1Université Paris-Saclay, Orsay, France
Groups, geometry, and dynamics, Tome 17 (2023) no. 3, pp. 923-983

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DOI

This paper studies the rigidity properties of the abstract commensurator of the outer automorphism group of a universal Coxeter group of rank n, which is the free product Wn​ of n copies of Z/2Z. We prove that for n≥5 the natural map Out(Wn​)→Comm(Out(Wn​)) is an isomorphism and that every isomorphism between finite index subgroups of Out(Wn​) is given by a conjugation by an element of Out(Wn​).
DOI : 10.4171/ggd/718
Classification : 20-XX
Mots-clés : Universal Coxeter group, outer automorphism groups, abstract commensurator, outer space, group actions on trees

Yassine Guerch  1

1 Université Paris-Saclay, Orsay, France 
Yassine Guerch. Commensurations of the outer automorphism group of a universal Coxeter group. Groups, geometry, and dynamics, Tome 17 (2023) no. 3, pp. 923-983. doi: 10.4171/ggd/718
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     pages = {923--983},
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     number = {3},
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