|
|||||
|
|
|
|
|
|
|
|
|
On embeddings into
compactly generated groups
Pierre-Emmanuel Caprace and Yves Cornulier |
|
Vol. 269 (2014), No. 2, 305–321
|
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 nonembedding results. |
Keywords
locally compact groups, compactly generated groups,
topologically simple groups, unrestricted wreath products
|
Mathematical Subject Classification 2010
Primary: 22D05
Secondary: 05C63, 20E18, 57S30
|
Milestones
Received: 28 November 2012
Revised: 18 May 2013
Accepted: 21 May 2013
Published: 26 July 2014
|
Authors |
| Pierre-Emmanuel Caprace | |
| Departement de Mathematiques Universite Catholique de Louvain, IRMP Chemin du Cyclotron 2 1348 Louvain-la-Neuve Belgium |
|
| Yves Cornulier | |
| Laboratoire de Mathématiques Université Paris-Sud 11 Bâtiment 425 91405 Orsay France |
|
|
