Hyperbolic one-relator groups

Hyperbolic one-relator groups

We introduce two families of two-generator one-relator groups called primitive extension groups and show that a one-relator group is hyperbolic if its primitive extension subgroups are hyperbolic. This reduces the problem of characterizing hyperbolic one-relator groups to characterizing hyperbolic p...

Cur síos iomlán

Sonraí bibleagrafaíochta
Príomhchruthaitheoir:	Linton, M
Formáid:	Journal article
Teanga:	English
Foilsithe / Cruthaithe:	Cambridge University Press 2024

Míreanna comhchosúla

Codimension one subgroups and boundaries of hyperbolic groups
de réir: Delzant, T, et al.
Foilsithe / Cruthaithe: (2008)

Relatively hyperbolic groups with fixed peripherals
de réir: Cordes, M, et al.
Foilsithe / Cruthaithe: (2019)

Relatively Hyperbolic Groups with Rapid Decay Property
de réir: Drutu, C, et al.
Foilsithe / Cruthaithe: (2004)

Groups acting on tree-graded spaces and splittings of relatively hyperbolic group
de réir: Drutu Badea, C, et al.
Foilsithe / Cruthaithe: (2007)

Relatively hyperbolic groups: geometry and quasi-isometric invariance
de réir: Drutu, C
Foilsithe / Cruthaithe: (2006)

On the coarse geometry of solvable Baumslag-Solitar groups and relatively hyperbolic groups
de réir: Nairne, P
Foilsithe / Cruthaithe: (2024)

On the One Class of Hyperbolic Systems
de réir: Vsevolod E. Adler, et al.
Foilsithe / Cruthaithe: (2006-12-01)

Malnormality is undecidable in hyperbolic groups
de réir: Bridson, M, et al.
Foilsithe / Cruthaithe: (2001)

Groups with no coarse embeddings into hyperbolic groups
de réir: Hume, D, et al.
Foilsithe / Cruthaithe: (2017)

Conjugacy of Finite Subsets in Hyperbolic Groups.
de réir: Bridson, M, et al.
Foilsithe / Cruthaithe: (2005)

Direct embeddings of relatively hyperbolic groups with optimal ℓp compression exponent
de réir: Hume, D
Foilsithe / Cruthaithe: (2015)

Hyperbolic groups that are not commensurably co-hopfian
de réir: Stark, E, et al.
Foilsithe / Cruthaithe: (2020)

Higher topological complexity of hyperbolic groups
de réir: Hughes, S, et al.
Foilsithe / Cruthaithe: (2022)

Recognition of subgroups of direct products of hyperbolic groups
de réir: Bridson, M, et al.
Foilsithe / Cruthaithe: (2004)

Hyperbolic problems in fluids and relativity
de réir: Schrecker, M
Foilsithe / Cruthaithe: (2018)

The quasi-one-dimensional hyperbolic model of hydraulic fracturing
de réir: Aidar M Ilyasov, et al.
Foilsithe / Cruthaithe: (2016-12-01)

A dynamical characterization of acylindrically hyperbolic groups
de réir: Sun, B
Foilsithe / Cruthaithe: (2019)

Actions of small cancellation groups on hyperbolic spaces
de réir: Abbott, C, et al.
Foilsithe / Cruthaithe: (2020)

Geometric and probabilistic aspects of groups with hyperbolic features
de réir: Sisto, A
Foilsithe / Cruthaithe: (2013)

Discreteness and Convergence of Complex Hyperbolic Isometry Groups
de réir: Xi Fu
Foilsithe / Cruthaithe: (2013-01-01)

Hyperfiniteness of boundary actions of acylindrically hyperbolic groups
de réir: Koichi Oyakawa
Foilsithe / Cruthaithe: (2024-01-01)

Stability for hyperbolic groups acting on boundary spheres
de réir: Kathryn Mann, et al.
Foilsithe / Cruthaithe: (2023-01-01)

One-Parameter Hyperbolic Spatial Locomotions and Invariants of the Axode
de réir: Areej A. Almoneef, et al.
Foilsithe / Cruthaithe: (2023-08-01)

One-Parameter Generalization of Dual-Hyperbolic Jacobsthal Numbers
de réir: Bród Dorota, et al.
Foilsithe / Cruthaithe: (2023-09-01)

Quasiregular self-mappings of manifolds and word hyperbolic groups
de réir: Bridson, M, et al.
Foilsithe / Cruthaithe: (2007)

Action rigidity for free products of hyperbolic manifold groups
de réir: Stark, ER, et al.
Foilsithe / Cruthaithe: (2023)

Orthogonal forms of Kac–Moody groups are acylindrically hyperbolic
de réir: Caprace, P, et al.
Foilsithe / Cruthaithe: (2015)

Homogeneous Structures and Homogeneous Geodesics of the Hyperbolic Oscillator Group
de réir: Giovanni Calvaruso, et al.
Foilsithe / Cruthaithe: (2025-01-01)

Homology Groups in Warped Product Submanifolds in Hyperbolic Spaces
de réir: Yanlin Li, et al.
Foilsithe / Cruthaithe: (2021-01-01)

Quantum Chromodynamics and the Hyperbolic Unitary Group SUh(3)
de réir: Nikolay Popov, et al.
Foilsithe / Cruthaithe: (2023-11-01)

Complex hyperbolic triangle groups with 2-fold symmetry
de réir: Джон Р. Паркер, et al.
Foilsithe / Cruthaithe: (2017-08-01)

Remark on fundamental groups and effective Diophantine methods for hyperbolic curves
de réir: Kim, M
Foilsithe / Cruthaithe: (2011)

A study of complex network using hyperbolic triangle group
de réir: Taha, M. H. M., et al.
Foilsithe / Cruthaithe: (2016)

On the Hyperbolic Leonardo and Hyperbolic Francois Quaternions
de réir: Paula Maria Machado Cruz Catarino, et al.
Foilsithe / Cruthaithe: (2023-03-01)

Analyticity of the entropy and the escape rate of random walks in hyperbolic groups
de réir: Sebastien Gouezel
Foilsithe / Cruthaithe: (2017-05-01)

Group Classification and Conservation Laws of a Class of Hyperbolic Equations
de réir: J. C. Ndogmo
Foilsithe / Cruthaithe: (2021-01-01)

Jørgensen’s Inequality and Algebraic Convergence Theorem in Quaternionic Hyperbolic Isometry Groups
de réir: Huani Qin, et al.
Foilsithe / Cruthaithe: (2014-01-01)

Constructions and Performance of Hyperbolic and Semi-Hyperbolic Floquet Codes
de réir: Oscar Higgott, et al.
Foilsithe / Cruthaithe: (2024-11-01)

Invariant Surfaces under Hyperbolic Translations in Hyperbolic Space
de réir: Mahmut Mak, et al.
Foilsithe / Cruthaithe: (2014-01-01)

Time-like Ruled Surface in One-Parameter Hyperbolic Dual Spherical Motions
de réir: Monia F. Naghi, et al.
Foilsithe / Cruthaithe: (2022-01-01)