arXiv:0801.4234 Abstract | arXiv Analytics

arXiv:0801.4234 [math.GR]Abstract References Reviews Resources

Solvable Subgroups of Locally Compact Groups

Karl Heinrich Hofmann, Karl-Hermann Neeb

Published 2008-01-28Version 1

It is shown that a closed solvable subgroup of a connected Lie group is compactly generated. In particular, every discrete solvable subgroup of a connected Lie group is finitely generated. Generalizations to locally compact groups are discussed as far as they carry.

Categories: math.GR, math.DG

Subjects: 22A05, 22D05, 22E15

Keywords: locally compact groups, connected lie group, discrete solvable subgroup, closed solvable subgroup

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