On the uniqueness of some affinely flat infra-nilmanifolds

DOI10.1007/BF02570895zbMath0714.57027MaRDI QIDQ750964

Paul Igodt, Kyung Bai Lee

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/183792

zbMATH Keywords

virtually nilpotent groupsfundamental groups of aspherical manifoldsgeneral Seifert fiber space constructiongeometric realizations of group extensionsrigidity theorem for infranilmanifolds

Mathematics Subject Classification ID

Discontinuous groups of transformations (57S30) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Topology of vector bundles and fiber bundles (57R22) Algebraic topology on manifolds and differential topology (57R19)

Related Items (2)

Polynomial structures for nilpotent groups ⋮ Computational aspects of affine representations for torsion free nilpotent groups via the Seifert construction

Cites Work

• Three-dimensional affine crystallographic groups
• Aspherical Manifolds with Virtually 3-Step Nilpotent Fundamental Group
• THE SEIFERT CONSTRUCTION AND ITS APPLICATIONS TO INFRANILMANIFOLDS
• Applications of Group Cohomology to Space Constructions
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