Work

Test elements in torsion-free hyperbolic groups

Year: 2012

Type: preprint

Abstract: We prove that in a torsion-free hyperbolic group, an element is a test element if and only if it is not contained in a proper retract.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1202.3939

Author: Groves, Daniel

Institution: University of Illinois Chicago

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Awards: CAREER: Surface bundles and logic in geometric group theory, G6671297155, Homomorphisms to hyperbolic and mapping class groups

OpenAlex ID: W1533628778

Cites: 13

Cited by: 3

Related to: 20