English

Virtual Lie subgroups of locally compact groups

General Topology 2024-07-02 v1

Abstract

We examine subgroups of locally compact groups that are continuous homomorphic images of connected Lie groups and we give a criterion for being such an image. We also provide a new characterisation of Lie groups and a characterisation of groups that are images of connected locally compact groups.

Keywords

Cite

@article{arxiv.2407.01253,
  title  = {Virtual Lie subgroups of locally compact groups},
  author = {Antoni Machowski},
  journal= {arXiv preprint arXiv:2407.01253},
  year   = {2024}
}

Comments

9 pages

R2 v1 2026-06-28T17:24:54.853Z