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Virtually special non-finitely presented groups via linear characters

Virtually special non-finitely presented groups via linear characters
Virtually special non-finitely presented groups via linear characters
We present a new method for showing that groups are virtually special. This is done by considering finite quotients and linear characters. We use this to show that an infinite family of groups, related to Bestvina-Brady groups and branching, provides new examples of virtually special groups outside of a hyperbolic context.
Generalised Bestvina-Brady group, Linear Character, Residually finite, Special cube complex
0046-5755
Vankov, Vladimir
dd4ebea0-800e-4d03-b1a6-b69388122a12
Vankov, Vladimir
dd4ebea0-800e-4d03-b1a6-b69388122a12

Vankov, Vladimir (2022) Virtually special non-finitely presented groups via linear characters. Geometriae Dedicata, 216 (4), [44]. (doi:10.1007/s10711-022-00702-w).

Record type: Article

Abstract

We present a new method for showing that groups are virtually special. This is done by considering finite quotients and linear characters. We use this to show that an infinite family of groups, related to Bestvina-Brady groups and branching, provides new examples of virtually special groups outside of a hyperbolic context.

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More information

Accepted/In Press date: 15 May 2022
e-pub ahead of print date: 11 June 2022
Published date: August 2022
Additional Information: Publisher Copyright: © 2022, The Author(s).
Keywords: Generalised Bestvina-Brady group, Linear Character, Residually finite, Special cube complex

Identifiers

Local EPrints ID: 469024
URI: http://eprints.soton.ac.uk/id/eprint/469024
ISSN: 0046-5755
PURE UUID: a26b7cd2-65cc-4cd5-9893-773a7484cf90

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Date deposited: 05 Sep 2022 16:47
Last modified: 16 Mar 2024 21:31

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