Uncountably many non-commensurable finitely presented pro-\(p\) groups.

DOI10.1515/JGTH-2016-0510zbMath1345.20032arXiv1504.00027OpenAlexW2964160973MaRDI QIDQ285591

Ilir Snopce

Publication date: 19 May 2016

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00027

zbMATH Keywords

subgroups of finite index\(p\)-adic analytic groupsfinitely presented pro-\(p\)-groupsuniform pro-\(p\) groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Limits, profinite groups (20E18)

Related Items (3)

On hereditarily self-similar \(p\)-adic analytic pro-\(p\) groups ⋮ Uncountably many non-commensurable pro-p groups of homological type FPk but not FPk+1 ⋮ On pro-\(p\) groups with quadratic cohomology

Cites Work

• Unnamed Item
• Powerful \(p\)-groups. II: \(p\)-adic analytic groups
• Finitely generated groups, \(p\)-adic analytic groups and Poincaré series
• \(p\)-adic analytic groups
• Normal Zeta Functions of Some pro-pGroups
• Finiteness Conditions for Soluble Groups

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