Representing the automorphism group of an almost crystallographic group

DOI10.1090/S0002-9939-96-03141-3zbMath0843.20038OpenAlexW1488247306MaRDI QIDQ4874340

Wim Malfait, Paul Igodt

Publication date: 15 August 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03141-3

zbMATH Keywords

general linear groupsdiscrete subgroupsautomorphism groupsfaithful representationssemi-direct productssimply connected nilpotent Lie groupsalmost crystallographic groups

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Automorphism groups of groups (20F28) Other geometric groups, including crystallographic groups (20H15)

Related Items (5)

The construction of affine structures on virtually nilpotent groups ⋮ Nielsen's theorem for model aspherical manifolds ⋮ Algebraic criteria to decide if a finite group acts effectively on a model aspherical manifold ⋮ Model aspherical manifolds with no periodic maps ⋮ Almost-Bieberbach groups with (in)finite outer automorphism group

Cites Work

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• Bieberbach's theorems on space groups and discrete uniform subgroups of Lie groups
• Extensions realising a faithful abstract kernel and their automorphisms
• On affine crystallographic groups
• Almost-Bieberbach groups: affine and polynomial structures
• HOLONOMY OF FLAT MANIFOLDS WITH b₁ = 0
• THERE ARE ONLY FINITELY MANY INFRA-NILMANIFOLDS UNDER EACH NILMANIFOLD
• Geometric Realization of π 0 ε(M)
• Deforming homotopy equivalences to homeomorphisms in aspherical manifolds
• AFFINE STRUCTURES FOR CLOSED 3-DIMENSIONAL MANIFOLDS WITH NIL-GEOMETRY

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