Profinite genus of free products with finite amalgamation

DOI10.1016/j.jalgebra.2023.11.036arXiv2305.16054MaRDI QIDQ6146410

Pavel A. Zalesskii, Vagner R. de Bessa, Anderson L. P. Porto

Publication date: 5 February 2024

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.16054

zbMATH Keywords

profinite groupprofinite completionfree product with amalgamationgenus for groups

Mathematics Subject Classification ID

Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26) Limits, profinite groups (20E18)

Cites Work

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• Determining Fuchsian groups by their finite quotients
• Arithmetic groups with isomorphic finite quotients.
• Profinite rigidity for Seifert fibre spaces
• Cohomological goodness and the profinite completion of Bianchi groups.
• Combinatorial group theory for pro-p groups
• A note on finitely generated torsion-free nilpotent groups of class 2
• Finiteness properties for subgroups of \(\text{GL}(n,\mathbb{Z})\)
• Automorphisms of free groups and outer space
• The proalgebraic completion of rigid groups.
• Absolute profinite rigidity and hyperbolic geometry
• Profinite genus of the fundamental groups of compact flat manifolds with holonomy group of prime order
• Genus for groups.
• On the profinite rigidity of surface groups and surface words
• Unsolved Problems in Group Theory. The Kourovka Notebook
• The genus of HNN-extensions
• Profinite properties of RAAGs and special groups
• SUBGROUPS OF PROFINITE GROUPS ACTING ON TREES
• Automorphism Groups of Semi-Direct Products
• PROFINITE GROUPS THAT ACT ON TREES AND DO NOT HAVE FREE NONABELIAN PRO-p-SUBGROUPS
• Finiteness theorems for polycyclic groups
• Finite groups of outer automorphisms of free groups
• Conjugacy Separability and Free Products of Groups with Cyclic Amalgamation
• Profinite detection of 3-manifold decompositions
• Profinite genus of fundamental groups of torus bundles
• Profinite Graphs and Groups
• Detecting ends of residually finite groups in profinite completions
• On the Automorphisms of Free Groups and Free Nilpotent Groups
• Conjugacy Separability of Groups of Integer Matrices
• Zeta function of representations of compact 𝑝-adic analytic groups
• Profinite Groups
• A note on Fuchsian groups
• The profinite completion of accessible groups
• The finite and solvable genus of finitely generated free and surface groups
• On the profinite rigidity of triangle groups

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