Prosoluble subgroups of the profinite completion of the fundamental group of compact 3‐manifolds

Lucas Costa Lopes; Pavel Zalesskii

doi:10.1112/jlms.70330

October 1, 2025Journal of the London Mathematical SocietyOpen Access

Prosoluble subgroups of the profinite completion of the fundamental group of compact 3‐manifolds

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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.

Implication

Analysis describes finitely generated prosoluble groups in 3-manifold fundamental groups, suggesting new insights into their structure.

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.

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Cite This Study

Lopes et al. (2025) studied this question.

synapsesocial.com/papers/68f9d6583f37887222492528 https://doi.org/10.1112/jlms.70330

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Prosoluble subgroups of the profinite completion of the fundamental group of compact 3‐manifolds

Key Points

Implication

Abstract

Discussion

Cite This Study

Prosoluble subgroups of the profinite completion of the fundamental group of compact 3‐manifolds

Key Points

Implication

Abstract

Discussion

Cite This Study

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