pro-p群的连续Mal'cev Qp完备化
Continuous Mal'cev Qp-Completion of Pro-p Groups
AI总结:
本文针对拓扑有限生成pro-p群,利用Tannakian形式论、Hopf代数和p进解析群三种方式构造其连续Mal'cev Qp完备化,并研究该完备化的相关性质。
AI中文摘要:
我们采用Tannakian形式论、Hopf代数和p进解析群三种显式构造,给出拓扑有限生成pro-p群的连续Mal'cev Qp完备化的构造,并通过这些显式构造研究该完备化的性质。
英文摘要:
We give three explicit constructions of the continuous Mal'cev Qp-completion of a topologically finitely generated pro-p group, using Tannakian formalism, Hopf algebras and p-adic analytic groups. We study properties of the continuous Mal'cev Qp-completion via these explicit constructions.