维数小于7的Auslander猜想
The Auslander conjecture for dimension less then 7
摘要：
1964年L. Auslander指出，每个结晶子群的仿射群是几乎可解的，即包含一个可解子群的有限指数。D.弗里德和W.高盛证明了Auslander的猜想n = 3使用上同调的论点。我们证明了n < 7的Auslander猜想。证明主要是基于动态参数。在某些情况下，我们可以避免使用上同调论证，但这会大大延长证明时间。
英文摘要：
In 1964 L. Auslander conjectured that every crystallographic subgroup of an the affine group is virtually solvable, i.e. contains a solvable subgroup of finite index. D. Fried and W. Goldman proved Auslander's conjecture for n = 3 using cohomological arguments. We prove the Auslander conjecture for n < 7. The proof is based mainly on dynamical arguments. In some cases, we use the cohomological argument which we could avoid but it would significantly lengthen the proof.
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