Free-by-Demushkin pro-\(p\) groups.

DOI10.1007/S00209-004-0720-6zbMath1068.20030OpenAlexW2036838766MaRDI QIDQ1771998

Dessislava H. Kochloukova, Pavel A. Zalesskii

Publication date: 14 April 2005

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

Full work available at URL: https://doi.org/10.1007/s00209-004-0720-6

zbMATH Keywords

Galois groupsfinitely generated groupscohomological dimensionshort exact sequencespro-\(p\)-groupsDemushkin groupsinflation maps

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Galois cohomology (12G05) Limits, profinite groups (20E18)

Related Items (4)

The Hanna Neumann conjecture for Demushkin groups ⋮ The Kummerian property and maximal pro-\(p\) Galois groups ⋮ Virtual retraction and Howson’s theorem in pro-$p$ groups ⋮ On pro-\(p\) groups with quadratic cohomology

Cites Work

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• Pro-\(p\) Galois groups of rank \(\leq 4\)
• On pro-p-groups with a single defining relator
• Cohomology theory of groups with a single defining relation
• A Remark on the Structure of Absolute Galois Groups
• Extensions of pro-pgroups of cohomological dimension two
• NORMAL SUBGROUPS OF PROFINITE GROUPS OF FINITE COHOMOLOGICAL DIMENSION
• Classification of Demushkin Groups
• On amalgamated products of profinite groups

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