Finitely generated subgroups of free profinite groups and of some Galois groups

DOI10.1007/BF02307198zbMath0927.20014OpenAlexW1997916753MaRDI QIDQ1282512

O. V. Mel'nikov

Publication date: 16 July 1999

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02307198

zbMATH Keywords

finitely generated subgroupssubnormal subgroupsprofinite groupsabsolute Galois groupsHilbert fieldscomposition subgroupsfree prosolvable groupsmaximal solvable extensionsseries of subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Separable extensions, Galois theory (12F10) Generators, relations, and presentations of groups (20F05) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15) Inverse Galois theory (12F12) Hilbertian fields; Hilbert's irreducibility theorem (12E25) Limits, profinite groups (20E18)

Cites Work

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• Separably Hilbertian fields
• Combinatorial group theory for pro-p groups
• Extensions de corps hilberteins
• A subgroup theorem for free products of pro-finite groups
• Zu einem von B. H. und H. Neumann gestellten Problem
• Zum Einbettungsproblem.
• On Finitely Generated Subgroups of a Free Group

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