A geometric characterization of free formations of profinite groups

DOI10.1007/BF00971377zbMath0725.20021OpenAlexW1991645480MaRDI QIDQ2277575

Pavel A. Zalesskii

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf00971377

zbMATH Keywords

projective groupsfundamental groupsactionscovering spacesprofinite graphsfree formations of profinite groupsfree pro-\(C\)-groupsprofinite treessimply connected graphs

Mathematics Subject Classification ID

Trees (05C05) Groups acting on specific manifolds (57S25) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Fundamental group, presentations, free differential calculus (57M05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Formations of groups, Fitting classes (20F17) Groups acting on trees (20E08) Limits, profinite groups (20E18)

Related Items (10)

Pro-\(p\) groups acting on trees with finitely many maximal vertex stabilizers up to conjugation ⋮ A virtually free pro-\(p\) need not be the fundamental group of a profinite graph of finite groups. ⋮ Profinite extensions of centralizers and the profinite completion of limit groups ⋮ Profinite rigidity of graph manifolds and JSJ decompositions of 3-manifolds ⋮ Profinite HNN-constructions ⋮ Profinite properties of graph manifolds ⋮ The geometry of profinite graphs with applications to free groups and finite monoids ⋮ Varieties of profinite graphs ⋮ The profinite completion of the fundamental group of infinite graphs of groups ⋮ Cofinite graphs and their profinite completions

Cites Work

• Profinite groups and Boolean graphs
• Pseudocompact algebras, profinite groups and class formations
• Free pro-\b C-groups
• On amalgamated products of profinite groups

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