关于infinite-dimensional Lie理论中的某些pro-p群
On some pro-p groups from infinite-dimensional Lie theory
摘要：
我们首先研究了由无限维李理论产生的一些pro-p-群。这些群是有限域上不完全Kac-Moody群的某些子群关于代数或几何原点的各种完备化的完备化。证明了许多完备Kac-Moody群中pro-pSylow子群的拓扑有限生成。这意味着后者群体的抽象简单性。我们还讨论了这些亲p基团的（非）线性问题。
英文摘要：
We initiate the study of some pro-p-groups arising from infinite-dimensional Lie theory. These groups are completions of some subgroups of incomplete Kac-Moody groups over finite fields, with respect to various completions of algebraic or geometric origin. We show topological finite generation for the pro-p Sylow subgroups in many complete Kac-Moody groups. This implies abstract simplicity of the latter groups. We also discuss with the question of (non-)linearity of these pro-p groups.
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