Five dimensional Bieberbach groups with trivial centre

DOI10.1007/BF02568759zbMath0789.20058MaRDI QIDQ1813319

Andrzej Szczepański

Publication date: 25 June 1992

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155522

zbMATH Keywords

integral representationfundamental groupsfinite 2-groupcompact flat manifoldsfinite holonomy groupstorsion free Bieberbach groups

Mathematics Subject Classification ID

(p)-adic representations of finite groups (20C11) Homological methods in group theory (20J05) Fundamental group, presentations, free differential calculus (57M05) Other geometric groups, including crystallographic groups (20H15) Discontinuous groups of transformations (57S30) Finite nilpotent groups, (p)-groups (20D15) Algebraic topology of manifolds (57N65)

Related Items (6)

Holonomy groups of Bieberbach groups with finite outer automorphism groups ⋮ Computation of Five-and Six-Dimensional Bieberbach Groups ⋮ Holonomy groups of five dimensional Bieberbach groups ⋮ Kähler flat manifolds ⋮ Model aspherical manifolds with no periodic maps ⋮ Anosov diffeomorphisms of products II. Aspherical manifolds

Cites Work

• Unnamed Item
• Bieberbach groups and flat manifolds
• The topological-Euclidean space form problem
• Manifolds with holonomy group \(Z_2\oplus Z_2\) and first Betti number zero
• EUCLIDEAN SPACE FORMS WITH THE FIRST BETTI NUMBER EQUAL TO ZERO
• HOLONOMY OF FLAT MANIFOLDS WITH b₁ = 0
• HOLONOMY OF FLAT MANIFOLDS WITH b₁ = 0, II

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