The genus of HNN-extensions

DOI10.1002/mana.201100357zbMath1287.20033OpenAlexW2039444607MaRDI QIDQ2841687

Vagner Bessa, Pavel A. Zalesskii

Publication date: 26 July 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201100357

zbMATH Keywords

profinite completionsHNN-extensionsresidually finite groupsprofinite groupsvirtually free groupsgenus of groupspro-\(p\) completions

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)

Related Items (6)

The profinite completion of accessible groups ⋮ Genus for virtually surface groups and pullbacks ⋮ Profinite genus of free products with finite amalgamation ⋮ Genus for groups. ⋮ Profinite genus of the fundamental groups of compact flat manifolds with holonomy group of prime order ⋮ Splitting theorems for pro-\(p\) groups acting on pro-\(p\) trees

Cites Work

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• Polycyclic groups with isomorphic finite quotients
• A note on finitely generated torsion-free nilpotent groups of class 2
• Some remarks on profinite HNN extensions
• Genus for groups.
• SUBGROUPS OF PROFINITE GROUPS ACTING ON TREES
• On polycyclic groups with isomorphic finite quotients
• A Note on Arithmetic Groups
• Finiteness theorems for polycyclic groups
• The automorphism group of a graph product of groups

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