Profinite Graphs and Groups

DOI10.1007/978-3-319-61199-0zbMath1457.20001OpenAlexW2792869388MaRDI QIDQ5270653

Luis Ribes

Publication date: 30 June 2017

Published in: Ergebnisse der Mathematik und ihrer Grenzgebiete 34 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-61199-0

zbMATH Keywords

fundamental grouppro-\(p\) groupfree productBass-Serre theoryprofinite groupHNN extensionamalgamated productprofinite treeprofinite graphfree pro-\(p\) group

Mathematics Subject Classification ID

Trees (05C05) Cohomology of groups (20J06) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Compact groups (22C05) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26) Research exposition (monographs, survey articles) pertaining to topological groups (22-02) Groups acting on trees (20E08) Limits, profinite groups (20E18) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items (22)

Oriented pro-\(\ell\) groups with the Bogomolov-Positselski property ⋮ Relative cohomology theory for profinite groups ⋮ Pro-\(p\) groups acting on trees with finitely many maximal vertex stabilizers up to conjugation ⋮ The Ribes-Zalesskii property of some one relator groups ⋮ Profinite extensions of centralizers and the profinite completion of limit groups ⋮ Free profinite products of prosoluble groups ⋮ Mapping classes are almost determined by their finite quotient actions ⋮ The profinite completion of accessible groups ⋮ Right‐angled Artin pro‐p$p$ groups ⋮ Demushkin groups of uncountable rank ⋮ Relatively projective profinite groups ⋮ Profinite genus of free products with finite amalgamation ⋮ Profinite rigidity of graph manifolds and JSJ decompositions of 3-manifolds ⋮ Inertia of retracts in Demushkin groups ⋮ On accessibility for pro-\(p\) groups ⋮ Profinite detection of 3-manifold decompositions ⋮ Profinite completions, cohomology and JSJ decompositions of compact 3-manifolds ⋮ Virtual retraction and Howson’s theorem in pro-$p$ groups ⋮ Homological approximations for profinite and pro-p limit groups ⋮ Varieties of profinite graphs ⋮ Around 3-manifold groups ⋮ The profinite completion of the fundamental group of infinite graphs of groups

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