Finite presentations of pro-\(p\) groups and discrete groups

DOI10.1007/BF01232262zbMath0738.20035OpenAlexW2065412967MaRDI QIDQ1814173

John S. Wilson

Publication date: 25 June 1992

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

Full work available at URL: https://eudml.org/doc/143909

zbMATH Keywords

finitely presented groupsfinitely generated subgroupopen subgroupGolod-Shafarevich inequalitynumbers of generators and relationspro- \(p\)-group

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Limits, profinite groups (20E18)

Related Items

The torsion-free rank of homology in towers of soluble pro-\(p\) groups, GOLOD–SHAFAREVICH GROUPS: A SURVEY, On the growth of \(p\)-class groups in \(p\)-class field towers, Examples of uniform exponential growth in algebras, Finitely presented metabelian restricted Lie algebras, Cutting towers of number fields, The groups \((l,m\mid n,k)\), Kazhdan groups whose FC-radical is not virtually abelian, Identities for Lie algebras of pro-\(p\) groups, Groups with fractionally exponential subgroup growth, On finite presentability and the homological type \(FP_n\) of Lie algebras: a survey, Growth of Homology of Centre-by-metabelian Pro- Groups, Generating Adjoint Groups, On a theorem of Zelmanov, A non-abelian free pro-\(p\) group is not linear over a local field, On some \(\Lambda\)-analytic pro-\(p\) groups, On pro-unipotent groups satisfying the Golod–Shafarevich condition

Cites Work

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• Group presentation, p-adic analytic groups and lattices in \(SL_ 2({\mathbb{C}})\)
• \(p\)-adic analytic groups
• Valuations and Finitely Presented Metabelian Groups
• Varieties of groups
• Projective Profinite Groups
• Zum Satz von GOLOD‐SCHAFAREWITSCH