Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups

2025/07/23 by Martin R. Bridson, Bridson, Martin R · 1 citation
Materials Science · Engineering · #Textile materials and evaluations #Fiber-reinforced polymer composites #Material Properties and Processing

paper · pdf · doi:10.48550/arxiv.2507.17598

Abstract

We investigate the complexity of the conjugacy problem for fibre products in torsion-free hyperbolic groups. Let G be a torsion-free hyperbolic group and let P

Citations

• Groups with fast-growing conjugator length functions
• On the conjugacy problem for subdirect products of hyperbolic groups
• On the finite presentation of subdirect products and the nature of residually free groups
• On the Subgroups of Right Angled Artin Groups and Mapping Class Groups
• Isoperimetric functions for subdirect products and Bestvina-Brady groups
• Isoperimetric and isodiametric functions of groups

Cited by

• Groups with fast-growing conjugator length functions
• On the conjugacy problem for subdirect products of hyperbolic groups

Related

• On the conjugacy problem for subdirect products of hyperbolic groups
• Reducing the conjugacy problem for relatively hyperbolic automorphisms to peripheral components
• Twisted conjugacy in braid groups
• On endomorphisms of torsion-free hyperbolic groups
• The Geometry of the Conjugacy Problem in Wreath Products and Free\n Solvable Groups