Homological and topological properties of locally indicable groups

DOI10.1007/BF01166075zbMath0533.20022OpenAlexW1980656738MaRDI QIDQ789518

James Howie, Hans Rudolf Schneebeli

Publication date: 1983

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154960

zbMATH Keywords

fundamental grouplocally indicable groupsderived seriesfinitely generated subgroupprojective RG-modulesasphericity in 2-complexescohomology dimensionconservative groupscovering complexḎ-groupsdescending subnormal seriesHurewicz mapprojective perfect \({\mathbb{Z}}G\)-moduleWhitehead problemzero divisor and unit problem in group rings

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Derived series, central series, and generalizations for groups (20F14) Local properties of groups (20E25) Homological dimension in associative algebras (16E10)

Related Items

Noncommutative knot theory, The parity of the Cochran--Harvey invariants of 3--manifolds, Threshold subgroups for cockcroft 2-complexes, On the Asphericity of Ribbon Disc Complements, The bipolar filtration of topologically slice knots, The universality of Hughes-free division rings, Primary decomposition in the smooth concordance group of topologically slice knots, Systems of equations over locally \(p\)-indicable groups, Homology and derived series of groups.

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