Generalizations of Bieberbach's first theorem on crystallographic groups

zbMath0697.20037MaRDI QIDQ910860

Yves Carrière, Françoise Dal'Bo

Publication date: 1989

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

zbMATH Keywords

polynomial growthdiscrete subgroupsamenabilitycompact Riemann surfacescrystallographic groupsBieberbach's first theoremvirtual properties

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Discrete subgroups of Lie groups (22E40) Nilpotent and solvable Lie groups (22E25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Other geometric groups, including crystallographic groups (20H15) Discontinuous groups of transformations (57S30) Means on groups, semigroups, etc.; amenable groups (43A07) Classification theory of Riemann surfaces (30F20)

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Compact flat spacetimes ⋮ Lorentzian similarity manifolds ⋮ The virtual solvability of the fundamental group of a compact complete flat spacetime of type \((n-2,2)\) ⋮ Globally hyperbolic flat space--times ⋮ On the full holonomy group of Lorentzian manifolds ⋮ Flat compact Hermite-Lorentz manifolds in dimension 4

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