Conjugacy class conditions in locally compact second countable groups

Wesolek, Phillip
(2015) Proceedings of the American Mathematical Society — Vol. 144, n° 1, p. 399-409 (2015)

Files

No attached file found for this publication.

Details

Authors
  • Wesolek, PhillipUCLouvain
    Author
Abstract
Many non-locally compact second countable groups admit a co- meagre conjugacy class. For example, this is the case for S∞, Aut(ℚ, <), and, less trivially, Aut(R) for R the random graph. 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
Affiliations

Citations

Wesolek, P. (2015). Conjugacy class conditions in locally compact second countable groups. Proceedings of the American Mathematical Society, 144(1), 399-409. https://doi.org/10.1090/proc/12645 (Original work published 2015)