2019
Том 71
№ 8

All Issues

Grigorchuk R. I.

Articles: 3
Article (English)

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

Grigorchuk R. I., Kravchenko R.

↓ Abstract

Ukr. Mat. Zh. - 2018. - 70, № 2. - pp. 165-176

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 $g(n) = \mathrm{l}\mathrm{o}\mathrm{g}(\mathrm{l}\mathrm{o}\mathrm{g}(n))$.

Article (Ukrainian)

Width of elements in free groups

Grigorchuk R. I., Kurchanov P. F.

Full text (.pdf)

Ukr. Mat. Zh. - 1991. - 43, № 7-8. - pp. 911–918

Article (Ukrainian)

Invariant measures on homogeneous spaces

Grigorchuk R. I.

Full text (.pdf)

Ukr. Mat. Zh. - 1979. - 31, № 5. - pp. 490–497