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June 2019 Extending properties to relatively hyperbolic groups
Daniel A. Ramras, Bobby W. Ramsey
Kyoto J. Math. 59(2): 343-356 (June 2019). DOI: 10.1215/21562261-2018-0017

Abstract

Consider a finitely generated group G that is relatively hyperbolic with respect to a family of subgroups H1,,Hn. We present an axiomatic approach to the problem of extending metric properties from the subgroups Hi to the full group G. We use this to show that both (weak) finite decomposition complexity and straight finite decomposition complexity are extendable properties. We also discuss the equivalence of two notions of straight finite decomposition complexity.

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Daniel A. Ramras. Bobby W. Ramsey. "Extending properties to relatively hyperbolic groups." Kyoto J. Math. 59 (2) 343 - 356, June 2019. https://doi.org/10.1215/21562261-2018-0017

Information

Received: 12 August 2016; Revised: 17 February 2017; Accepted: 22 February 2017; Published: June 2019
First available in Project Euclid: 18 January 2019

zbMATH: 07080107
MathSciNet: MR3960296
Digital Object Identifier: 10.1215/21562261-2018-0017

Subjects:
Primary: 20F67
Secondary: 19D50, 20F69, 53C23

Rights: Copyright © 2019 Kyoto University

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Vol.59 • No. 2 • June 2019
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