Properly discontinuous groups of affine transformations with orthogonal linear part

被引：0

作者：

Abels, H

Margulis, GA

Soifer, GA

机构：

[1] YALE UNIV,DEPT MATH,NEW HAVEN,CT 06520

[2] BAR ILAN UNIV,DEPT MATH,IL-52900 RAMAT GAN,ISRAEL

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1997年 / 324卷 / 03期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 properly discontinuously on A. We determine which orthogonal groups can occur as Zariski closures of the linear part of Gamma. Our methods yield a proof of Auslander's conjecture for affine spaces of dimension at most 6.

引用

页码：253 / 258

页数：6

共 50 条

[11] On the properly discontinuous subgroups of affine motions
Kawabe, T
MANUSCRIPTA MATHEMATICA, 1998, 95 (04) : 529 - 543
[12] On the foundations of the theory of discontinuous groups of linear transformations
Ford, LR
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1927, 13 : 286 - 289
[13] PROPERLY DISCONTINUOUS ACTIONS OF SUBGROUPS IN AMENABLE ALGEBRAIC-GROUPS AND ITS APPLICATION TO AFFINE MOTIONS
KAMISHIMA, Y
TOPOLOGY AND ITS APPLICATIONS, 1985, 19 (02) : 189 - 199
[14] Properly discontinuous group actions on affine homogeneous spaces
George Tomanov
Proceedings of the Steklov Institute of Mathematics, 2016, 292 : 260 - 271
[15] Properly discontinuous group actions on affine homogeneous spaces
Tomanov, George
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2016, 292 (01) : 260 - 271
[16] A GEOMETRIC CHARACTERIZATION FOR A CLASS OF DISCONTINUOUS GROUPS OF LINEAR FRACTIONAL TRANSFORMATIONS
LARCHER, H
PACIFIC JOURNAL OF MATHEMATICS, 1963, 13 (02) : 617 - &
[17] The linear part of an affine group acting properly discontinuously and leaving a quadratic form invariant
Abels, H.
Margulis, G. A.
Soifer, G. A.
GEOMETRIAE DEDICATA, 2011, 153 (01) : 1 - 46
[18] The linear part of an affine group acting properly discontinuously and leaving a quadratic form invariant
H. Abels
G. A. Margulis
G. A. Soifer
Geometriae Dedicata, 2011, 153 : 1 - 46
[19] RHO-ADIC LINEAR-GROUPS WITH ERGODIC AFFINE TRANSFORMATIONS
SCHREIBER, BM
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1980, 29 (01) : 31 - 39
[20] TRANSITIVE AFFINE TRANSFORMATIONS ON GROUPS
JONAH, D
SCHREIBER, BM
PACIFIC JOURNAL OF MATHEMATICS, 1975, 58 (02) : 483 - 509

← 1 2 3 4 5 →