论文标题
半密度的半神经代数组II
Strongly dense free subgroups of semisimple algebraic groups II
论文作者
论文摘要
在第一部分中显示，在足够大的田地上，任何半神经代数组中都存在着非常密集的自由亚组。这些是非亚伯自由亚组，其亚组都是循环或Zariski密集的。在这里，我们表明，只要该领域的超越程度至少为$ 1 $的特征零和至少$ 2 $的积极特征，也是如此。我们还考虑了表面组的相关问题。
It was shown in Part I that there exist strongly dense free subgroups in any semisimple algebraic group over a large enough field. These are nonabelian free subgroups all of whose subgroups are either cyclic or Zariski-dense. Here we show that the same is true for as long as the transcendence degree of the field is at least $1$ in characteristic zero and at least $2$ in positive characteristic. We also consider related questions for surface groups.
