A vanishing theorem for Euler characteristics

DOI10.1007/BF01181691zbMath0549.57010MaRDI QIDQ799982

Shmuel Rosset

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/173394

zbMATH Keywords

Euler characteristicfundamental groupfinite aspherical polyhedronnon-trivial normal abelian subgroup

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) PL-topology (57Q99)

Related Items (12)

An invariant of free central extensions ⋮ On \(L^ 2\)-homology and asphericity ⋮ Normal Abelian subgroups and Euler characteristic ⋮ On 4-manifolds homotopy equivalent to surface bundles over surfaces ⋮ On 4-manifolds homotopy equivalent to circle bundles over 3-manifolds ⋮ The \(L^2\)-torsion polytope of amenable groups ⋮ 3-Manifolds with abelian embeddings in S4 ⋮ \(PD_4\)-complexes and 2-dimensional duality groups ⋮ Multiplicative Invariants and the Finite Co‐Hopfian Property ⋮ The algebraic characterization of the exteriors of certain 2-knots ⋮ On a conjecture of E. Rapaport Strasser about knot-like groups and its pro-\(p\) version. ⋮ Global dimensions of crossed products

Cites Work

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• Euler characteristics and characters of discrete groups
• Centerless groups -- an algebraic formulation of Gottlieb's theorem
• The Euler characteristic of an affine space form is zero
• A Certain Subgroup of the Fundamental Group
• Left and right inverses in group algebras

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