140 citations · 1.3k across the 89 of their papers we have counts for
4 papers · 2 filters
A Wilson Group of Non-Uniformly Exponential Growth
Laurent Bartholdi
This note constructs a finitely generated group whose word-growth is exponential, but for which the infimum of the growth rates over all finite generating sets is 1 -- in other…
Amenability of groups acting on trees
Laurent Bartholdi
This note describes the first example of a group that is amenable, but cannot be obtained by subgroups, quotients, extensions and direct limits from the class of groups locally of…
On a group associated to
Laurent Bartholdi, Rostislav I. Grigorchuk
We construct a group acting on a binary rooted tree; this discrete group mimics the monodromy action of iterates of on associated coverings of the Riemann sphere. We t…
Groups of intermediate growth
Laurent Bartholdi
I describe a class of groups acting on rooted trees. The original claim was that all have intermediate word growth between polynomial and exponential. The argument constructs a fun…