On the rigidity of rank gradient in a group of intermediate growth

• Datum: 2018
• Hauptverfasser: Grigorchuk, R. I., Kravchenko, R., Григорчук, Р. І., Кравченко, Р.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2018
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1548
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We introduce and investigate a rigidity property of rank gradient for an example of a group $\scr G$ of intermediate growth constructed by the first author in [Grigorcuk R. I. On Burnside’s problem on periodic groups // Funktsional. Anal. i Prilozhen. – 1980. – 14, № 1. – P. 53 – 54]. It is shown t...