Prosoluble subgroups of the profinite completion of the fundamental group of compact 3‐manifolds | Synapse
October 23, 2025Open Access
Prosoluble subgroups of the profinite completion of the fundamental group of compact 3‐manifolds
Key Points
Prosoluble subgroups emerge from 3-manifold fundamental groups, enhancing our understanding of their properties.
Key evidence reveals finitely generated aspects of these prosoluble subgroups in compact 3-manifolds.
Analysis of finitely generated prosoluble subgroups focuses on their existence in 3-manifold groups and special groups.
This work supports advancements in group theory and topology, inviting further mathematical exploration.
Abstract
Abstract We give a description of finitely generated prosoluble subgroups of the profinite completion of 3‐manifold groups and toral relatively hyperbolic virtually compact special groups.