Conjugacy class conditions in locally compact second countable groups
Group Theory
2015-01-29 v2 Logic
Abstract
Many non-locally compact second countable groups admit a comeagre conjugacy class. For example, this is the case for the automorphism group of the rational order and the automorphism group of the random graph [Truss]. A. Kechris and C. Rosendal ask if a non-trivial locally compact second countable group can admit a comeagre conjugacy class. We answer the question in the negative via an analysis of locally compact second countable groups with topological conditions on a conjugacy class.
Cite
@article{arxiv.1310.1561,
title = {Conjugacy class conditions in locally compact second countable groups},
author = {Phillip Wesolek},
journal= {arXiv preprint arXiv:1310.1561},
year = {2015}
}
Comments
Referee's suggestions incorporated