On some pro-p groups from infinite-dimensional Lie theoryReport as inadecuate



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


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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.



Author: Inna Capdeboscq; Bertrand Remy

Source: https://archive.org/







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