Groups with infinite virtual cohomological dimension which act freely on \(\mathbb{R}{}^ m\times{} S^{n-1}\)

DOI10.1016/0022-4049(92)90020-GzbMath0764.57026MaRDI QIDQ1183360

Stratos Prassidis

Publication date: 28 June 1992

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Farrell cohomologylocally cyclicfree and properly discontinuous actionslocally quaternionic groups

Mathematics Subject Classification ID

Discontinuous groups of transformations (57S30) Group actions on manifolds and cell complexes in low dimensions (57M60) Connections of group theory with homological algebra and category theory (20J99)

Related Items (8)

Homologically trivial actions on chain complexes and finiteness properties of infinite groups ⋮ A remark on infinite torsion groups with periodic cohomology ⋮ Free properly discontinuous actions on homotopy surfaces ⋮ Free and properly discontinuous actions of discrete groups on homotopy circles ⋮ On Periodic (Co)Homology of Groups ⋮ Groups acting on \(S^ n\times\mathbb{R}^ k\): generalizations of a construction of Hambleton and Pedersen ⋮ Free and Properly Discontinuous Actions of Groups on Homotopy 2n-spheres ⋮ Infinite-dimensional homotopy space forms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homological dimension and Farrel cohomology
• Groups which act freely on \({\mathbb{R}}^ m\times S^{n-1}\)
• On groups with periodic cohomology after 1-step
• Generalized cohomological dimension
• On cohomological periodicity for infinite groups
• Exact sequences associated with a graph of groups
• On virtual properties and group extensions
• An extension of Tate cohomology to a class of infinite groups
• The Adams conjecture
• Bounded Surgery and Dihedral Group Actions on Spheres
• On Groups which Act Freely on R ^m × S ⁿ
• Periodic Projective Resolutions

This page was built for publication: Groups with infinite virtual cohomological dimension which act freely on \(\mathbb{R}{}^ m\times{} S^{n-1}\)