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6 - A counterexample to questions about boundaries, stability, and commensurability

from Part Three - Research Articles

Published online by Cambridge University Press:  22 June 2019

Edited by
Mark Hagen ,
Richard Webb  and
Henry Wilton
Mark Hagen
Affiliation:
University of Bristol
Richard Webb
Affiliation:
University of Cambridge
Henry Wilton
Affiliation:
University of Cambridge
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Summary

We construct a family of right-angled Coxeter groups which provide counter-examples to questions about the stable boundary of a group, one-endedness of stable subgroups, and the commensurability types of right-angled Coxeter groups.

Keywords

Right-angled Coxeter groupMorse boundarydivergencethick spacestable subgroupright-angled Artin grouprandom graphhyperbolic grouplacunary hyperbolic grouphierarchically hyperbolic group
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Chapter
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Beyond Hyperbolicity , pp. 151 - 159
Publisher: Cambridge University Press
Print publication year: 2019

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