@article{Grigorchuk_Kravchenko_2018, title={On the rigidity of rank gradient in a group of intermediate growth}, volume={70}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/1548}, abstractNote={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 that $\scr G$ is normally $(f, g)$-RG rigid, where$ f(n) = \mathrm{l}\mathrm{o}\mathrm{g}(n)$ and $g(n) = \mathrm{l}\mathrm{o}\mathrm{g}(\mathrm{l}\mathrm{o}\mathrm{g}(n))$.}, number={2}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Grigorchuk, R. I. and Kravchenko, R.}, year={2018}, month={Feb.}, pages={165-176} }