论文标题
标准的hausdorff光谱$ \ mathbb {f} _p [[t]] $ - 分析组
Standard Hausdorff spectrum of compact $\mathbb{F}_p[[t]]$-analytic groups
论文作者
论文摘要
我们证明$ \ mathbb {f} _p [[t] $ - 标准的hausdorff频谱是紧凑型$ \ mathbb {f} _p [[t] $ - 分析组包含一个真实的间隔，并且在组可溶时与整个单位间隔一致。此外，我们表明$ \ mathbb {f} _p [[t]] $ - $ \ mathbb {f} _p [[t] $ ablosical chevalley组的标准hausdorff spectrum不满，因为1是一个孤立的点。
We prove that the $\mathbb{F}_p[[t]]$-standard Hausdorff spectrum of a compact $\mathbb{F}_p[[t]]$-analytic group contains a real interval and that it coincides with the full unit interval when the group is soluble. Moreover, we show that the $\mathbb{F}_p[[t]]$-standard Hausdorff spectrum of classical Chevalley groups over $\mathbb{F}_p[[t]]$ is not full, since 1 is an isolated point thereof.
