Book contents
- Frontmatter
- Contents
- Preface
- Part One LECTURES
- Part Two Expository Articles
- Part Three Research Articles
- 6 A counterexample to questions about boundaries, stability, and commensurability
- 7 A note on the acylindrical hyperbolicity of groups acting on CAT(0) cube complexes
- 8 Immutability is not uniformly decidable in hyperbolic groups
- 9 Sphere systems, standard form, and cores of products of trees
8 - Immutability is not uniformly decidable in hyperbolic groups
from Part Three - Research Articles
Published online by Cambridge University Press: 22 June 2019
Book contents
- Frontmatter
- Contents
- Preface
- Part One LECTURES
- Part Two Expository Articles
- Part Three Research Articles
- 6 A counterexample to questions about boundaries, stability, and commensurability
- 7 A note on the acylindrical hyperbolicity of groups acting on CAT(0) cube complexes
- 8 Immutability is not uniformly decidable in hyperbolic groups
- 9 Sphere systems, standard form, and cores of products of trees
Summary
A finitely generated subgroup H of a torsion-free hyperbolic group G is called immutable if there are only finitely many conjugacy classes of injections of H into G. We show that there is no uniform algorithm to recognize immutability, answering a uniform version of a question asked by the authors.
Keywords
- Type
- Chapter
- Information
- Beyond Hyperbolicity , pp. 179 - 185Publisher: Cambridge University PressPrint publication year: 2019