Gluškov-Iwasawa local splitting theorem inverse limit of finite dimensional Lie groups nilpotent radical of a Lie algebra
Graduate School of Mathematical Sciences, The University of Tokyo
Journal of Mathematical Sciences, The University of Tokyo. Vol. 17 (2010), No. 1, Page 123-133
In this paper we obtain an extension of Gluškov-Iwasawa local splitting theorem for locally compact groups as the product of a compact group and a local Lie group, to inverse limits of finite dimensional Lie groups.