Transitive and quasitransitive actions of affine groups preserving a generalized Lorentz-structure

DOI10.1016/0393-0440(88)90017-4zbMath0706.57022OpenAlexW2063383689WikidataQ101241392 ScholiaQ101241392MaRDI QIDQ919329

Gregory A. Margulis, Fritz J. Grunewald

Publication date: 1988

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(88)90017-4

zbMATH Keywords

cocompact subgroupaffine grouparithmetic subgroupdiscontinuous action with compact quotientsimply transitive actions on affine spacesvirtually polycyclic

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Discontinuous groups of transformations (57S30)

Related Items (11)

Compact flat spacetimes ⋮ Properly discontinuous group actions on affine homogeneous spaces ⋮ Semigroups containing proximal linear maps ⋮ A left-symmetric algebraic approach to left invariant flat (pseudo-)metrics on Lie groups ⋮ The linear part of an affine group acting properly discontinuously and leaving a quadratic form invariant ⋮ On a class of Lie groups with a left invariant flat pseudo-metric ⋮ Variétés anti-de Sitter de dimension 3 exotiques. (Exotic 3-dimension anti-de Sitter manifolds) ⋮ The virtual solvability of the fundamental group of a compact complete flat spacetime of type \((n-2,2)\) ⋮ Flat compact Hermite-Lorentz manifolds in dimension 4 ⋮ FAITHFUL REPRESENTATIONS OF MINIMAL DIMENSION OF CURRENT HEISENBERG LIE ALGEBRAS ⋮ The Auslander conjecture for groups leaving a form of signature \((n-2,2)\) invariant.

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