In this paper we construct a new "pro-p-complete" topological Kac-Moody group and compare it to various known topological Kac-Moody groups. We come across this group by investigating the process of completion of groups with BN-pairs. We would like to know whether the completion of such a group admits a BN-pair. We give explicit criteria for this to happen.

中文翻译：

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Kac-Moody Groups 和 Completions

在本文中，我们构建了一个新的“pro-p-complete”拓扑 Kac-Moody 群，并将其与各种已知的拓扑 Kac-Moody 群进行比较。我们通过研究具有 BN 对的组的完成过程而遇到了这个组。我们想知道这样一个组的完成是否承认一个 BN 对。我们为此提供了明确的标准。