Linear groups of finite cohomological dimension

DOI10.1007/BF01404758zbMath0497.20042MaRDI QIDQ5905269

Roger C. Alperin, Peter B. Shalen

Publication date: 1982

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142871

zbMATH Keywords

finite cohomological dimensioncohomological dimension of linear groupsfinitely generated unipotent subgroupsHirsch ranks

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Other matrix groups over rings (20H25) Cohomology theory for linear algebraic groups (20G10)

Related Items (12)

The Novikov conjecture for linear groups ⋮ Obstructions to nonpositive curvature for open manifolds ⋮ Operator norm localization for linear groups and its application to \(K\)-theory ⋮ Complete Bredon cohomology and its applications to hierarchically defined groups ⋮ Bredon cohomological dimensions for groups acting on CAT(0)-spaces ⋮ Aspects of non positive curvature for linear groups with no infinite order unipotents ⋮ Intermediaries in Bredon (co)homology and classifying spaces ⋮ Linear groups ⋮ A notion of geometric complexity and its application to topological rigidity ⋮ On the universal coverings of algebraic surfaces ⋮ On groups of type \((FP)_\infty\) ⋮ Classifying spaces with virtually cyclic stabilizers for linear groups

Cites Work

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• A connection between the integral homology and the centre of a rational linear group
• Groups of integral representation type
• Cohomological topics in group theory.
• Reductive groups over a local field

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