140 citations · 1.3k across the 89 of their papers we have counts for
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math.GR2005
Branch Groups
Laurent Bartholdi, Rostislav I. Grigorchuk, Zoran Sunik
This is a long introduction to the theory of "branch groups": groups acting on rooted trees which exhibit some self-similarity features in their lattice of subgroups.
math.GR2005★ 11 cited
Infinite groups with large balls of torsion elements and small entropy
Laurent Bartholdi, Yves de Cornulier
We exhibit infinite, solvable, virtually abelian groups with a fixed number of generators, having arbitrarily large balls consisting of torsion elements. We also provide a sequence…
math.GR2005★ 4 cited
A Mealy machine with polynomial growth of irrational degree
Laurent Bartholdi, Illya I. Reznykov
We consider a very simple Mealy machine (three states over a two-symbol alphabet), and derive some properties of the semigroup it generates. In particular, this is an infinite, fin…