On the Zariski closure of the linear part of a properly discontinuous group of affine transformations

DOI10.4310/jdg/1090351104zbMath1061.22012OpenAlexW1592685285WikidataQ115201758 ScholiaQ115201758MaRDI QIDQ1423998

Herbert Abels, G. A. Soifer, Gregory A. Margulis

Publication date: 8 March 2004

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1090351104

zbMATH Keywords

properly discontinuous actions

Mathematics Subject Classification ID

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

Related Items (17)

A properly discontinuous free group of affine transformations ⋮ Proper affine actions: a sufficient criterion ⋮ Properly discontinuous group actions on affine homogeneous spaces ⋮ Proper affine actions on semisimple Lie algebras ⋮ Construction of Milnorian representations ⋮ Margulis multiverse: Infinitesimal rigidity, pressure form and convexity ⋮ Action of \(w_0\) on \(V^L\) for orthogonal and exceptional groups ⋮ The linear part of an affine group acting properly discontinuously and leaving a quadratic form invariant ⋮ Affine semigroups acting properly discontinuously on a hyperbolic space ⋮ Proper affine actions for right-angled Coxeter groups ⋮ The pressure metric on the Margulis multiverse ⋮ Proper affine actions and geodesic flows of hyperbolic surfaces ⋮ The Auslander conjecture for NIL-affine crystallographic groups. ⋮ Fundamental domains for properly discontinuous affine groups ⋮ Representations having vectors fixed by a Levi subgroup associated to a real form ⋮ Vanishing simplicial volume for certain affine manifolds ⋮ The Auslander conjecture for groups leaving a form of signature \((n-2,2)\) invariant.

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