4 citations · 8 across the 9 of their papers we have counts for
11 papers
On deformations of foliated complex analytic structures III: Unfoldings
Chunghoon Kim
We study unfoldings of foliated complex analytic structures defined by locally free subsheaves of cotangent sheaves. We prove theorem of existence for unfoldings of foliated comple…
Conjugacy and period in symmetric diagram groups
Matteo Tarocchi
We show how to solve the conjugacy (search) problem and the problem of determining whether a given element is periodic in symmetric diagram groups based on finite semigroup present…
Limit spaces of vertex and edge replacement systems
Davide Perego, Matteo Tarocchi
We introduce and study VERSs (vertex and edge replacement systems) as a technology of graph expansions. We consider its history graph, an augmented tree that records each graph exp…
Orderable Thompson-like groups arising from Ore categories
Davide Perego, Matteo Tarocchi
We give sufficient conditions for left- and bi-orderability of fundamental groups of Ore categories in terms of indirect factors, including Thompson groups and many of their genera…
Eventually Self-Similar Groups acting on Fractals
Davide Perego, Matteo Tarocchi
Generalizing work by Belk and Forrest, we develop almost expanding hyperedge replacement systems that build fractal topological spaces as quotients of edge shifts under certain ``g…
Rearrangement Groups of Fractals: Structure and Conjugacy
Matteo Tarocchi
This dissertation is about rearrangement groups: a class of groups of homeomorphisms of fractal topological spaces. Introduced in 2019 by J. Belk and B. Forrest, this class general…
Rational Gluing in Edge Replacement Systems
Davide Perego, Matteo Tarocchi
In this paper, we prove the rationality of the gluing relation of edge replacement systems, which were introduced for studying rearrangement groups of fractals. More precisely, we…
Conjugacy in Rearrangement Groups of Fractals
Matteo Tarocchi
We describe a method for solving the conjugacy problem in a vast class of rearrangement groups of fractals, a family of Thompson-like groups introduced in 2019 by Belk and Forrest.…
On Thompson Groups for Ważewski Dendrites
Matteo Tarocchi
We study a family of Thompson-like groups built as rearrangement groups of fractals from [BF19], each acting on a Ważewski dendrite. Each of these is a finitely generated group tha…
A Class of Rearrangement Groups that are not Invariably Generated
Davide Perego, Matteo Tarocchi
A group is invariably generated if there exists a subset such that, for every choice for , the group is generated by $\{ s^{g_s} \mid s…
Generation and Simplicity in the Airplane Rearrangement Group
Matteo Tarocchi
We study the group of rearrangements of the Airplane limit space introduced by Belk and Forrest in [3]. We prove that is generated by a copy of Thompson's group and…