33 citations · 97 across the 33 of their papers we have counts for
26 papers · 1 filter
Autostackability of Thompson's group
Nathan Corwin, Gili Golan, Susan Hermiller +2
The word problem for Thompson's group has a solution, but it remains unknown whether is automatic or has a finite or regular convergent (terminating and confluent) rewritin…
Portrait growth in contracting, regular branch groups
Zoran Sunic, Jone Uria-Albizuri
We address a question of Grigorchuk by providing both a system of recursive formulas and an asymptotic result for the portrait growth of the first Grigorchuk group. The results are…
No positive cone in a free product is regular
Susan Hermiller, Zoran Sunic
We show that there exists no left order on the free product of two nontrivial, finitely generated, left-orderable groups such that the corresponding positive cone is represented by…
From self-similar groups to self-similar sets and spectra
Rostislav Grigorchuk, Volodymyr Nekrashevych, Zoran Sunic
The survey presents developments in the theory of self-similar groups leading to applications to the study of fractal sets and graphs, and their associated spectra.
Left relatively convex subgroups
Yago Antolín, Warren Dicks, Zoran Sunic
Let G be a group and H be a subgroup of G. We say that H is left relatively convex in G if the left G-set G/H has at least one G-invariant order; when G is left orderable, this hol…
Finitely constrained groups of maximal Hausdorff dimension
Andrew Penland, Zoran Sunic
We prove that if G_P is a finitely constrained group of binary rooted tree automorphisms (a group binary tree subshift of finite type) defined by an essential pattern group P of pa…