Infinite approximate subgroups of soluble Lie groups
Infinite approximate subgroups of soluble Lie groups
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可溶李群的无限近似子群
作者：
S. Machado
我们研究可溶李群的无限近似子群。我们证明，近似子群在某种意义上是接近于真正的连通子群的。在此结果的基础上，我们证明了可溶李群中近似格的结构定理。这延伸至可溶李群，由 Yves Meyer 提出的关于准晶体的定理。
We study infinite approximate subgroups of soluble Lie groups. We show that approximate subgroups are close, in a sense to be defined, to genuine connected subgroups. Building upon this result we prove a structure theorem for approximate lattices in soluble Lie groups. This extends to soluble Lie groups a theorem about quasi-crystals due to Yves Meyer.