Generalized Grigorchuk's Overgroups as points on $\mathcal{M}_k$
Group Theory
2019-11-06 v2
Abstract
Following the construction from `Degrees of growth of finitely generated groups and the theory of invariant means' we generalize the Grigorchuk's overgroup , studied in `On parabolic subgroups and Hecke algebras of some fractal groups' to the family of generalized Grigorchuk's overgroups. We consider these groups as 8-generated and describe the closure of this family in the space of marked groups.
Cite
@article{arxiv.1909.04575,
title = {Generalized Grigorchuk's Overgroups as points on $\mathcal{M}_k$},
author = {Supun T. Samarakoon},
journal= {arXiv preprint arXiv:1909.04575},
year = {2019}
}