Kac-Moody Groups and Completions

Published 26 Jun 2017 in math.GR, math.GN, and math.RT | (1706.08374v3)

Abstract: 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.

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