The structure and topological meaning of almost-torsion free groups

DOI10.1080/00927879408824976zbMath0802.20041OpenAlexW2021805535MaRDI QIDQ4293757

Karel Dekimpe, Paul Igodt

Publication date: 7 July 1994

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879408824976

zbMATH Keywords

polycyclic-by-finite groupsFitting subgroupalmost-crystallographic groupsalmost-torsion free groupfinitely generated maximal nilpotent torsion-free normal subgroupinfra- nilmanifolds

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) Other geometric groups, including crystallographic groups (20H15)

Related Items (8)

The construction of affine structures on virtually nilpotent groups ⋮ Nielsen's theorem for model aspherical manifolds ⋮ Polynomial structures for nilpotent groups ⋮ The asymptotic density of finite-order elements in virtually nilpotent groups. ⋮ Non-aspherical ends and non-positive curvature ⋮ On the Number of Generators of a Bieberbach Group ⋮ Affine structures on a class of virtually nilpotent groups ⋮ An averaging formula for Nielsen numbers on infra-solvmanifolds

Cites Work

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• Bieberbach's theorems on space groups and discrete uniform subgroups of Lie groups
• THE SEIFERT CONSTRUCTION AND ITS APPLICATIONS TO INFRANILMANIFOLDS
• THERE ARE ONLY FINITELY MANY INFRA-NILMANIFOLDS UNDER EACH NILMANIFOLD

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