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Direct limit groups do not have small subgroups

Helge Glockner
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Abstract

We show that countable direct limits of finite-dimensional Lie groups do not have small subgroups. The same conclusion is obtained for suitable direct limits of infinite-dimensional Lie groups.

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Helge Glockner. 2006-06-03. Direct limit groups do not have small subgroups. https://arxiv.org/abs/math/0602407

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