Cyclic extensions of free pro-\(p\) groups

DOI10.1006/jabr.1998.7787zbMath0934.20023OpenAlexW2153485538MaRDI QIDQ1305047

Wolfgang N. Herfort, Pavel A. Zalesskii

Publication date: 27 January 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7787

zbMATH Keywords

subgroups of finite indexfundamental groups of graphs of groupscyclic extensionsprofinite graphsfree pro-\(p\) groupsKurosh subgroup theorem

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34) Extensions, wreath products, and other compositions of groups (20E22) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Limits, profinite groups (20E18)

Related Items (5)

Virtually free pro-\(p\) products. ⋮ A virtually free pro-\(p\) need not be the fundamental group of a profinite graph of finite groups. ⋮ Free-by-finite pro-\(p\) groups and integral \(p\)-adic representations ⋮ Second countable virtually free pro-\(p\) groups whose torsion elements have finite centralizer ⋮ Profinite HNN-constructions

Cites Work

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• Groups, trees and projective modules
• Profinite Frobenius groups
• Finite extensions of free pro-\(p\) groups of rank at most two
• On the cohomological dimension of Artin-Schreier structures
• Infinite generation of automorphism groups of free pro-\(p\) groups
• Finitely generated pro-\(2\) groups with a free subgroup of index \(2\)
• On the cohomological characterization of real free pro-\(2\)-groups
• Sur la dimension cohomologique des groupes profinis
• SUBGROUPS OF PROFINITE GROUPS ACTING ON TREES
• On Closed Subgroups of Free Products of Profinite Groups
• Finite and infinite cyclic extensions of free groups
• The structure of some virtually free pro-𝑝 groups
• p-Extensions of free pro-p groups
• Normal subgroups of free constructions of profinite groups and the congruence kernel in the case of positive characteristic
• An Embedding Theorem for Groups with a Free Subgroup of Finite Index

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