Finitely generated pro-\(2\) groups with a free subgroup of index \(2\)

DOI10.1007/BF02677485zbMath0951.20018OpenAlexW1982097162MaRDI QIDQ1365305

Pavel A. Zalesskii, Wolfgang N. Herfort

Publication date: 12 December 2000

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156313

zbMATH Keywords

automorphismscompletionsfree factorsfinitely generated free pro-\(2\) groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Automorphisms of infinite groups (20E36) Limits, profinite groups (20E18)

Related Items (2)

Note on 2-rational fields ⋮ Cyclic extensions of free pro-\(p\) groups

Cites Work

• Representations of cyclic groups in rings of integers. I
• Combinatorial group theory for pro-p groups
• On the cohomological dimension of Artin-Schreier structures
• Sur la dimension cohomologique des groupes profinis
• Torsion elements and centralizers in free products of profinite groups.
• Subgroups of free pro-p-products
• On Automorphisms of Free Pro-p-Groups I
• A Kurosh Subgroup Theorem for Free Pro--Products of Pro--Groups
• Fixed Points of Automorphisms of Free Pro-p Groups of Rank 2

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