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arXiv · 1909.04575

Generalized Grigorchuk's Overgroups as points on $\mathcal{M}_k$

Supun T. Samarakoon
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Abstract

Following the construction from `Degrees of growth of finitely generated groups and the theory of invariant means' we generalize the Grigorchuk's overgroup $\tilde{\mathcal{G}}$, studied in `On parabolic subgroups and Hecke algebras of some fractal groups' to the family $\{ \tilde{G}_\omega, \omega \in \Omega = \{ 0, 1, 2 \}^\mathbb{N} \}$ of generalized Grigorchuk's overgroups. We consider these groups as 8-generated and describe the closure of this family in the space $\mathcal{M}_8$ of marked groups.

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BibTeXRIS

Supun T. Samarakoon. 2019-09-10. Generalized Grigorchuk's Overgroups as points on $\mathcal{M}_k$. https://arxiv.org/abs/1909.04575

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