Bounded normal generation is not equivalent to topological bounded normal generation
Group Theory
2018-01-08 v1 Functional Analysis
Abstract
We show that some derived full groups provide examples of non simple Polish groups with the topological bounded normal generation property. In particular, it follows that there are Polish groups with the topological bounded normal generation property but not the bounded normal generation property.
Keywords
Cite
@article{arxiv.1801.01329,
title = {Bounded normal generation is not equivalent to topological bounded normal generation},
author = {Philip A. Dowerk and François Le Maître},
journal= {arXiv preprint arXiv:1801.01329},
year = {2018}
}
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11 pages