Embedding right-angled Artin groups into Brin-Thompson groups

James Belk; Collin Bleak; Francesco Matucci

doi:10.1017/S0305004119000112

Embedding right-angled Artin groups into Brin-Thompson groups

James Belk, Collin Bleak, Francesco Matucci

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that every finitely-generated right-angled Artin group embeds into some Brin–Thompson group nV. It follows that any virtually special group can be embedded into some nV, a class that includes surface groups, all finitely-generated Coxeter groups, and many one-ended hyperbolic groups.

Original language	English
Pages (from-to)	225-229
Number of pages	5
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	169
Issue number	2
Early online date	23 Apr 2019
DOIs	https://doi.org/10.1017/S0305004119000112
Publication status	Published - Sept 2020

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© 2019, Cambridge Philosophical Society. This work has been made available online in accordance with the publisher’s policies. This is the author created accepted version manuscript following peer review and as such may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1017/S0305004119000112
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http://arxiv.org/abs/1602.08635

Bi-synchronizing automata: Bi-synchronizing automata, outer automorphism groups of Higman-Thompson groups, and automorphisms of the shift
Bleak, C. P. (PI) & Cameron, P. J. (CoI)
1/05/18 → 30/04/21
Project: Standard

Cite this

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title = "Embedding right-angled Artin groups into Brin-Thompson groups",

abstract = "We prove that every finitely-generated right-angled Artin group embeds into some Brin–Thompson group nV. It follows that any virtually special group can be embedded into some nV, a class that includes surface groups, all finitely-generated Coxeter groups, and many one-ended hyperbolic groups.",

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AB - We prove that every finitely-generated right-angled Artin group embeds into some Brin–Thompson group nV. It follows that any virtually special group can be embedded into some nV, a class that includes surface groups, all finitely-generated Coxeter groups, and many one-ended hyperbolic groups.

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DO - 10.1017/S0305004119000112

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Embedding right-angled Artin groups into Brin-Thompson groups

Abstract

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Bi-synchronizing automata: Bi-synchronizing automata, outer automorphism groups of Higman-Thompson groups, and automorphisms of the shift

Cite this