English

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

Dynamical Systems 2018-02-26 v1 Group Theory

Abstract

We introduce and investigate the rigidity property of rank gradient in the case of the group G\mathcal G of intermediate growth constructed by the first author. We show that G\mathcal G is normally (f,g)(f,g)-RG rigid where f(n)=log(n)f(n)=\log(n) and g(n)=log(log(n)).g(n) =\log(\log(n)).

Keywords

Cite

@article{arxiv.1802.08387,
  title  = {On the rigidity of rank gradient in a group of intermediate growth},
  author = {Rostislav Grigorchuk and Rostyslav Kravchenko},
  journal= {arXiv preprint arXiv:1802.08387},
  year   = {2018}
}