On embeddings into compactly generated groups

Abstract

We prove that there is a second countable locally compact group that does not embed as a closed subgroup in any compactly generated locally compact group, and discuss various related embedding and non-embedding results.

16 pages, no figure

Cited by in corpus (3)

• Metric geometry of locally compact groups
• Locally compact wreath products
• Locally compact groups whose ergodic or minimal actions are all free