Transformation groups on \(S^ n\times\mathbb{R}^ m\)

DOI10.1016/0166-8641(93)90136-2zbMath0816.57021OpenAlexW2061923333MaRDI QIDQ1313947

Jong Bum Lee

Publication date: 1 March 1994

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(93)90136-2

zbMATH Keywords

periodicityvirtual cohomological dimensionFarrell cohomologydiscrete groupfinite group actionscovering transformationproperly discontinuouslygeneralized Gysin exact sequencespseudo- spherepseudo-spherical space formsubgroups of \(O(m,n)\)virtually torsion free

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Finite transformation groups (57S17) Discontinuous groups of transformations (57S30) Cohomology theory for linear algebraic groups (20G10) Connections of group theory with homological algebra and category theory (20J99) Homological algebra in category theory, derived categories and functors (18Gxx)

Related Items (6)

On the non-existence of free \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$ \mathcal {A}_d$\end{document}-actions on products of spheres ⋮ Nilpotent action by an amenable group and Euler characteristic ⋮ Free properly discontinuous actions on homotopy surfaces ⋮ Free and Properly Discontinuous Actions of Groups on Homotopy 2n-spheres ⋮ Infinite-dimensional homotopy space forms ⋮ Diagonal approximation and the cohomology ring of the fundamental groups of surfaces

Cites Work

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• Homological dimension and Farrel cohomology
• Groups which act freely on \({\mathbb{R}}^ m\times S^{n-1}\)
• Poincaré duality groups of dimension two. II
• Poincaré duality groups of dimension two
• The spectrum of an equivariant cohomology ring. I. II
• Groups Which Act on S n Without Fixed Point
• The Compact 3-Manifolds Covered by S 2 × R 1

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