There are only finitely many infra-nilmanifolds under each nilmanifold: A new proof

DOI10.1016/0019-3577(94)90002-7zbMath0847.57025OpenAlexW2062815945MaRDI QIDQ1344157

Karel Dekimpe, Wim Malfait, Paul Igodt

Publication date: 24 September 1996

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(94)90002-7

zbMATH Keywords

fundamental groupinfra-nilmanifolds

Mathematics Subject Classification ID

Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)

Related Items (3)

Infra-nilmanifolds modeled on the group of uni-triangular matrices ⋮ The finiteness of the Reidemeister number of morphisms between almost-crystallographic groups. ⋮ Affine structures on a class of virtually nilpotent groups

Cites Work

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• Bieberbach's theorems on space groups and discrete uniform subgroups of Lie groups
• Arithmetic subgroups of algebraic groups
• Computational aspects of affine representations for torsion free nilpotent groups via the Seifert construction
• Applications of Group Cohomology to Space Constructions
• THERE ARE ONLY FINITELY MANY INFRA-NILMANIFOLDS UNDER EACH NILMANIFOLD
• AFFINE STRUCTURES FOR CLOSED 3-DIMENSIONAL MANIFOLDS WITH NIL-GEOMETRY

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