Virtually free pro-\(p\) groups.

DOI10.1007/s10240-013-0051-4zbMath1288.20037OpenAlexW2156918373MaRDI QIDQ384270

Wolfgang N. Herfort, Pavel A. Zalesskii

Publication date: 27 November 2013

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10240-013-0051-4

zbMATH Keywords

HNN-extensionsamalgamated free productsfinitely generated pro-\(p\) groupsfree open subgroupsvirtually free pro-\(p\) groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) 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 (7)

Virtually free pro-\(p\) products. ⋮ Pro-\(p\) groups acting on trees with finitely many maximal vertex stabilizers up to conjugation ⋮ A virtually free pro-\(p\) need not be the fundamental group of a profinite graph of finite groups. ⋮ Virtually free pro-\(p\) products ⋮ Virtually free groups and integral representations ⋮ Subgroup properties of pro-\(p\) extensions of centralizers. ⋮ Subgroups of pro-\(p PD^3\)-groups

Cites Work

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• Finite and infinite cyclic extensions of free groups
• The structure of some virtually free pro-𝑝 groups
• Profinite HNN-constructions
• Virtually free pro-p groups whose torsion elements have finite centralizer
• Pro-p groups of positive deficiency

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