The Auslander conjecture for dimension less than 7
arXiv:1211.2525
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.
This paper has been withdrawn by the author due to corrections. We added acknowledgements
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