Free actions of finite groups on the 3-dimensional nilmanifold

DOI10.1016/j.topol.2004.05.006zbMath1059.57008OpenAlexW1992427155MaRDI QIDQ1886721

Joon-Kook Shin, Hahng-Yun Chu

Publication date: 19 November 2004

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2004.05.006

zbMATH Keywords

Heisenberg groupgroup actionsaffine conjugacyNilmanifold

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Finite transformation groups (57S17) Fundamental group, presentations, free differential calculus (57M05) Group actions on manifolds and cell complexes in low dimensions (57M60)

Related Items (1)

Hodge theory on \(\mathrm{ALG}^\ast\) manifolds

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Free actions of finite Abelian groups on the 3-torus
• Isometry groups of unimodular simply connected 3-dimensional Lie groups
• Classification of free actions of finite groups on the 3-torus
• On irreducible 3-manifolds which are sufficiently large
• Seifert manifolds
• Almost sufficiently large Seifert fiber spaces
• THERE ARE ONLY FINITELY MANY INFRA-NILMANIFOLDS UNDER EACH NILMANIFOLD
• Free Cyclic Actions on S 1 × S 1 × S 1
• AFFINE STRUCTURES FOR CLOSED 3-DIMENSIONAL MANIFOLDS WITH NIL-GEOMETRY
• The Geometries of 3-Manifolds
• On $P^2$-irreducible 3-manifolds

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