On a new characterization of Demuskin groups

DOI10.1007/BF01388436zbMath0546.20021MaRDI QIDQ798428

John P. Labute, David S. Dummit

Publication date: 1983

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143054

zbMATH Keywords

open subgroupscohomology exact sequencesfinitely generated one-relator pro-\(p\)-groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Limits, profinite groups (20E18) Associated Lie structures for groups (20F40)

Related Items (9)

Demuškin groups, Galois modules, and the elementary type conjecture ⋮ On Demuskin groups with involution ⋮ The Hanna Neumann conjecture for Demushkin groups ⋮ Demushkin groups of uncountable rank ⋮ Schreier’s formula for prosupersolvable groups ⋮ Corrigendum The number of generators of finite p-groups ⋮ Field theory and the cohomology of some Galois groups ⋮ Pro-\(p\) groups with constant generating number on open subgroups. ⋮ Virtual retraction and Howson’s theorem in pro-$p$ groups

Cites Work

• Unnamed Item
• Riemann-Hurwitz formula and p-adic Galois representations for number fields
• Cohomologie galoisienne. Cours au Collège de France, 1962--1963. 3ième éd.
• \(p\)-adic analytic groups
• Algèbres de Lie et pro-p-groupes définis par une seule relation
• Classification of Demushkin Groups
• Über galoissche Erweiterungen p-adischer Zahlkörper.

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