Subgroups of finite index in profinite groups

DOI10.1007/BF01214436zbMath0394.20020OpenAlexW2007936019MaRDI QIDQ5906117

Brian Hartley

Publication date: 1979

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

Full work available at URL: https://eudml.org/doc/172861

zbMATH Keywords

Subgroup of Finite IndexTopologically Finitely Generated Profinite Group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Commutator calculus (20F12) Limits, profinite groups (20E18)

Related Items

ON PROFINITE GROUPS WHOSE POWER SUBGROUPS ARE CLOSED, Perfect radicals and homology of group extensions, Continuity conditions for finite-dimensional representations of some locally bounded groups, On solvable groups of arbitrary derived length and small commutator length., Profinite completions and isomorphic finite quotients, On profinite groups in which commutators are Engel, Commutator length of finitely generated linear groups., Pro-finite \(p\)-adic Lie algebras, On the verbal width of finitely generated pro-\(p\) groups., Sofic groups and profinite topology on free groups., Verbal width in the Nottingham group and related Lie algebras, On strongly just infinite profinite branch groups, Direct products and profinite completions, ON COMMUTATOR LENGTH OF CERTAIN CLASSES OF SOLVABLE GROUPS, Commutator length of abelian-by-nilpotent groups, On the theories of free solvable groups, Topological groups, Applied model theory and metamathematics. An Abraham Robinson memorial problem list

Cites Work

• On prosupersolvable groups
• The \(\mathfrak F\)-normalizers of a finite soluble group
• Commutators of Certain Finitely Generated Soluble Groups
• Subgroups of finite index in profinite groups
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