Bounded normal generation is not equivalent to topological bounded normal generation

• Philip A. Dowerk ^[1] ; François Le Maître
  1. [1] Dresden University of Technology

     Dresden University of Technology

     Kreisfreie Stadt Dresden, Alemania

     
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 34, Nº 1, 2019, págs. 85-97
• Idioma: inglés
• DOI: 10.17398/2605-5686.34.1.85
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• Resumen

  • 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.