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Title: Bounded normal generation is not equivalent to topological bounded normal generation
Authors: Dowerk, Philip A.
Le Maître, Françoise
Keywords: Topological group;Topological bounded normal generation;Topological simplicity;Full group;Conjugacy classes;Grupo topológico;Generación normal limitada topológica;Simplicidad topológica;Grupo completo;Clases de conjugación
Issue Date: 2019
Publisher: Universidad de Extremadura
Abstract: We show that some derived L¹ 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.
DOI: 10.17398/2605-5686.34.1.85
Appears in Collections:Extracta Mathematicae Vol. 34, nº 1 (2019)

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