Kyoto Journal of Mathematics
- Kyoto J. Math.
- Volume 59, Number 2 (2019), 343-356.
Extending properties to relatively hyperbolic groups
Consider a finitely generated group that is relatively hyperbolic with respect to a family of subgroups . We present an axiomatic approach to the problem of extending metric properties from the subgroups to the full group . 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.
Kyoto J. Math., Volume 59, Number 2 (2019), 343-356.
Received: 12 August 2016
Revised: 17 February 2017
Accepted: 22 February 2017
First available in Project Euclid: 18 January 2019
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 20F67: Hyperbolic groups and nonpositively curved groups
Secondary: 19D50: Computations of higher $K$-theory of rings [See also 13D15, 16E20] 53C23: Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces 20F69: Asymptotic properties of groups
Ramras, Daniel A.; Ramsey, Bobby W. Extending properties to relatively hyperbolic groups. Kyoto J. Math. 59 (2019), no. 2, 343--356. doi:10.1215/21562261-2018-0017. https://projecteuclid.org/euclid.kjm/1547802013