论文标题
算术组和莱默猜想
Arithmetic Groups and the Lehmer Conjecture
论文作者
论文摘要
我们概括了苏里的结果,并证明了更高等级半圣母谎言组(首先是由Margulis的首先猜想)中共同体晶格的均匀离散性等同于Lehmer的猜想的弱形式。我们包括对相关结果和猜想的简短调查。
We generalize a result of Sury and prove that uniform discreteness of cocompact lattices in higher rank semisimple Lie groups (first conjectured by Margulis) is equivalent to a weak form of Lehmer's conjecture. We include a short survey of related results and conjectures.