Free actions of finite Abelian groups on the 3-torus

DOI10.1016/0166-8641(93)90134-YzbMath0817.57029OpenAlexW2038498072MaRDI QIDQ1313944

Kyung Bai Lee, Shoji Yokura, Joon-Kook Shin

Publication date: 10 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)90134-y

zbMATH Keywords

Bieberbach groupfree actions3-dimensional torus

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Finite transformation groups (57S17) Fundamental group, presentations, free differential calculus (57M05)

Related Items

3-manifolds for relativists, Free actions of finite groups on the 3-dimensional nilmanifold, Maximal holonomy of infra-nilmanifolds with $2$-dimensional quaternionic Heisenberg geometry, Classification of partially hyperbolic diffeomorphisms in 3-manifolds with solvable fundamental group, \(K\)-theory of noncommutative Bieberbach manifolds, Uniqueness of orientation-preserving free actions of finite abelian groups on surfaces, Classification of free actions of finite groups on the 3-torus

Cites Work

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• Bieberbach groups and flat manifolds
• Topological, affine and isometric actions on flat Riemannian manifolds
• On irreducible 3-manifolds which are sufficiently large
• Seifert manifolds
• Almost sufficiently large Seifert fiber spaces
• Free Cyclic Actions on S 1 × S 1 × S 1
• On $P^2$-irreducible 3-manifolds