The Auslander conjecture for dimension less than 7
Group Theory
2013-06-04 v4
Abstract
In 1967 L. Auslander conjectured that every crystallographic subgroup of an affine group is virtually solvable, i.e. contains a solvable subgroup of finite index. D. Fried and W. Goldman proved Auslander's conjecture for affine space of dimension 3 using cohomological arguments. Using dynamical arguments we prove the Auslander conjecture for dimension less than 7.
Keywords
Cite
@article{arxiv.1211.2525,
title = {The Auslander conjecture for dimension less than 7},
author = {Herbert Abels and Gregory Margulis and Gregory Soifer},
journal= {arXiv preprint arXiv:1211.2525},
year = {2013}
}
Comments
This paper has been withdrawn by the author due to corrections. We added acknowledgements