Jumps in cohomology and free group actions.

DOI10.1016/j.jpaa.2006.11.011zbMath1124.20038arXivmath/0504122OpenAlexW2012322318MaRDI QIDQ886259

Nansen Petrosyan

Publication date: 26 June 2007

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

Full work available at URL: https://arxiv.org/abs/math/0504122

zbMATH Keywords

solvable groupscup productsperiodic cohomologygroups of finite virtual cohomological dimensionfinite-dimensional CW-complexesjump cohomology

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Solvable groups, supersolvable groups (20F16) Cohomology of groups (20J06) Topological methods in group theory (57M07)

Related Items (11)

Dynamic characterizations of quasi-isometry and applications to cohomology ⋮ ON ALGEBRAIC INVARIANTS FOR FREE ACTIONS ON HOMOTOPY SPHERES ⋮ Spheroidal groups, virtual cohomology and lower dimensional \(G\)-spaces ⋮ Solvable Subgroup Theorem for simplicial nonpositive curvature ⋮ Fiberwise volume non-increasing diffeomorphisms on product manifolds ⋮ Injective generation of derived categories and other applications of cohomological invariants of infinite groups ⋮ Projective resolutions up to bounded torsion and bounds for the orders of the finite subgroups. ⋮ A characterization of cohomological dimension for a big class of groups. ⋮ On the Gorenstein and cohomological dimension of groups ⋮ Intermediaries in Bredon (co)homology and classifying spaces ⋮ Free and Properly Discontinuous Actions of Groups on Homotopy 2n-spheres

Cites Work

• An infinite-dimensional torsion-free \(\text{FP}_{\infty}\) group
• On groups of type \((FP)_\infty\)
• Cohomological topics in group theory.
• On the Weak Homological Dimension of the Group Algebra of Solvable Groups
• PERIODICITY IN GROUP COHOMOLOGY AND COMPLETE RESOLUTIONS
• Groups of cohomological dimension one
• Periodic complexes and group actions
• Unnamed Item
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