The virtual solvability of the fundamental group of a compact complete flat spacetime of type \((n-2,2)\)

DOI10.1016/S0166-8641(96)00080-6zbMath0869.22018MaRDI QIDQ675082

Tatsuya Kawabe, Tsuyoshi Watabe

Publication date: 31 August 1997

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

zbMATH Keywords

spacetimePoincaré groupaffine crystallographic groupsEuclidean space groups

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Discrete subgroups of Lie groups (22E40)

Cites Work

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• The fundamental group of a compact flat Lorentz space form is virtually polycyclic
• The classification of flat compact complete space-forms with metric of signature \((2,2)\).
• Generalizations of Bieberbach's first theorem on crystallographic groups
• Transitive and quasitransitive actions of affine groups preserving a generalized Lorentz-structure
• Three-dimensional affine crystallographic groups
• Flat spacetimes
• On fundamental groups of complete affinely flat manifolds
• The virtual solvability of the fundamental group of a generalized Lorentz space form
• Orbits of linear algebraic groups

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