Subgroup properties of pro-\(p\) extensions of centralizers.

DOI10.1007/s00029-013-0128-4zbMath1300.20038arXiv1205.5574OpenAlexW2009044635MaRDI QIDQ2452062

Pavel A. Zalesskii, Ilir Snopce

Publication date: 28 May 2014

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.5574

zbMATH Keywords

groups acting on treesgraphs of groupspro-\(p\) groupsprofinite groups

Mathematics Subject Classification ID

Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Groups acting on trees (20E08) Limits, profinite groups (20E18)

Related Items (9)

Pro-\(p\) groups acting on trees with finitely many maximal vertex stabilizers up to conjugation ⋮ Ascending chains of finitely generated subgroups ⋮ Galois-theoretic features for 1-smooth pro-p groups ⋮ Profinite extensions of centralizers and the profinite completion of limit groups ⋮ Demushkin groups of uncountable rank ⋮ Subdirect products of pro-p groups ⋮ Subgroup properties of Demushkin groups ⋮ Homological approximations for profinite and pro-p limit groups ⋮ Subgroups and homology of extensions of centralizers of pro-pgroups

Cites Work

• Unnamed Item
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• Virtually free pro-\(p\) groups.
• On pro-\(p\) analogues of limit groups via extensions of centralizers.
• Splitting theorems for pro-\(p\) groups acting on pro-\(p\) trees
• Group presentation, p-adic analytic groups and lattices in \(SL_ 2({\mathbb{C}})\)
• A virtually free pro-\(p\) need not be the fundamental group of a profinite graph of finite groups.
• Elementary theory of free non-abelian groups.
• Normalisers in limit groups.
• Subgroups of direct products of limit groups.
• Topology of finite graphs
• Diophantine geometry over groups. IV: An iterative procedure for validation of a sentence.
• Diophantine geometry over groups. II: Completions, closures and formal solutions
• Diophantine geometry over groups. I: Makanin-Razborov diagrams
• Finite index and finite codimension
• Diophantine geometry over groups. III: Rigid and solid solutions.
• Implicit function theorem over free groups.
• Diophantine geometry over groups. V\(_2\): Quantifier elimination. II.
• Diophantine geometry over groups. VI: The elementary theory of a free group.
• Sur la dimension cohomologique des groupes profinis
• Subgroup properties of fully residually free groups
• FINITE INDEX SUBGROUPS OF FULLY RESIDUALLY FREE GROUPS
• SUBGROUPS OF PROFINITE GROUPS ACTING ON TREES
• Discrete Groups of Motions
• On subdirect products of type FP m of limit groups
• Large groups, property (τ) and the homology growth of subgroups
• THE FIGURE EIGHT KNOT GROUP IS CONJUGACY SEPARABLE
• Virtually free pro-p groups whose torsion elements have finite centralizer
• Profinite Groups
• On amalgamated products of profinite groups

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