PROPERLY DISCONTINUOUS GROUPS OF AFFINE TRANSFORMATIONS WITH ORTHOGONAL LINEAR PART

Authors
ABELS H MARGULIS GA SOIFER GA
Citation
H. Abels et al., PROPERLY DISCONTINUOUS GROUPS OF AFFINE TRANSFORMATIONS WITH ORTHOGONAL LINEAR PART, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 324(3), 1997, pp. 253-258
Citations number
14
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
324
Issue
3
Year of publication
1997
Pages
253 - 258
Database
ISI
SICI code
0764-4442(1997)324:3<253:PDGOAT>2.0.ZU;2-E
Abstract
Let Gamma be a subgroup of the group of all affine transformations of a real affine space A of finite dimension. Suppose that Gamma acts pro perly discontinuously on A. We determine which orthogonal groups can o ccur as Zariski closures of the linear part of Gamma. Our methods yiel d a proof of Auslander's conjecture for affine spaces of dimension at most 6.