On the integral homology of finitely presented groups

DOI10.1016/0040-9383(83)90044-7zbMath0503.20018OpenAlexW2072715874MaRDI QIDQ1173157

Charles F. III Miller, Gilbert Baumslag, Eldon Dyer

Publication date: 1983

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(83)90044-7

zbMATH Keywords

free productsword problemacyclic groupsfinitely presented acyclic groupintegral homology sequenceintegral homology sequence of finitely presented grouprecursively enumerable presentationrecursively enumerable sequence of abelian groupsuntangled presentations

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (12)

HOMOLOGY OF GROUPS AND THIRD BUSY BEAVER FUNCTION ⋮ Finite part of operator \(K\)-theory for groups finitely embeddable into Hilbert space and the degree of nonrigidity of manifolds ⋮ On positive and constructive groups ⋮ The acyclic group dichotomy. ⋮ On Constructive Nilpotent Groups ⋮ Torsion generators for all abelian groups ⋮ The isomorphism problem for torsion-free abelian groups is analytic complete ⋮ Finiteness of \(\pi _1\)-sensitive Hofer-Zehnder capacity and equivariant loop space homology ⋮ COMPUTABLE ABELIAN GROUPS ⋮ Two functions from Abelian groups to perfect groups ⋮ A Higman embedding preserving asphericity ⋮ On equivariant and invariant topological complexity of smooth ℤ/_{𝕡}-spheres

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