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We initiate the study of some pro-p-groups arising from infinite-dimensionalLie theory. These groups are completions of some subgroups of incompleteKac-Moody groups over finite fields, with respect to various completions ofalgebraic or geometric origin. We show topological finite generation for thepro-p Sylow subgroups in many complete Kac-Moody groups. This implies abstractsimplicity of the latter groups. We also discuss with the question of(non-)linearity of these pro-p groups.

On some pro-p groups from infinite-dimensional Lie theory