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arXiv · 1310.1561

Conjugacy class conditions in locally compact second countable groups

Phillip Wesolek
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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.

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Phillip Wesolek. 2015-01-28. Conjugacy class conditions in locally compact second countable groups. https://arxiv.org/abs/1310.1561

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