English

Direct limit groups do not have small subgroups

Group Theory 2007-05-23 v4

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.

Cite

@article{arxiv.math/0602407,
  title  = {Direct limit groups do not have small subgroups},
  author = {Helge Glockner},
  journal= {arXiv preprint arXiv:math/0602407},
  year   = {2007}
}

Comments

10 pages, LaTeX; v4: update of references