A connection between the integral homology and the centre of a rational linear group

DOI10.1007/BF01214865zbMath0427.20042OpenAlexW2080304115MaRDI QIDQ1136863

Robert Bieri

Publication date: 1980

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172916

zbMATH Keywords

integral homologycentre of a rational linear groupfinite cohomology dimension

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Cohomology theory for linear algebraic groups (20G10)

Related Items (10)

On the Finiteness length of some soluble linear groups ⋮ Word problems and a homological finiteness condition for monoids ⋮ The Σ-invariants of 𝑆-arithmetic subgroups of Borel groups ⋮ About the descriptive power of certain classes of finite string-rewriting systems ⋮ On the cohomology of soluble groups. II ⋮ Finiteness properties of groups ⋮ Linear groups of finite cohomological dimension ⋮ Linear groups of finite cohomological dimension ⋮ Finiteness properties of solvable S-arithmetic groups: An example ⋮ Finiteness conditions for groups

Cites Work

• The topology of discrete groups
• Finiteness properties of duality groups
• Centerless groups -- an algebraic formulation of Gottlieb's theorem
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