Extensions of a residually finite group by a weakly sofic group are weakly sofic

• Lev Glebsky ^[1]
  1. [1] Universidad Autónoma de San Luis Potosí

     Universidad Autónoma de San Luis Potosí

     México

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 39, Nº 3, 2023, págs. 1097-1104
• Idioma: inglés
• DOI: 10.4171/RMI/1368
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• Resumen

  • In this paper, we show that residually-finite-by-weakly-sofic extensions are weakly sofic. More precisely, we show that if in an exact sequence of groups 1 ! N ,! K G ! 1 the group G is residually finite and N is weakly sofic, then K is weakly sofic