Julio Aroca

activity

20182022

most citedThe conjugacy problem for Thompson-like groups

2 citations · 2 across the 2 of their papers we have counts for

collaborators

5 papers

math.GT2022

Block mapping class groups and their finiteness properties

Javier Aramayona, Julio Aroca, María Cumplido +2

A Cantor surface $C_{d}$ is a non-compact surface obtained by gluing copies of a fixed compact surface $Y^{d}$ (a block), with $d + 1$ boundary components, in a tree-like fashio…

math.GR2020

A new family of infinitely braided Thompson's groups

Julio Aroca, María Cumplido

We present a generalization of the Dehornoy-Brin braided Thompson group $B V_{2}$ that uses recursive braids. Our new groups are denoted by $B V_{n, r} (H)$ , for all $n \geq 2, r \geq 1$ an…

math.GR2020

Some embeddings between symmetric R. Thompson groups

Julio Aroca, Collin Bleak

Let $m \leq n \in N$ , and $G \leq S_{m}$ and $H \leq S_{n}$ . In this article we find conditions enabling embeddings between the symmetric R. Thompson groups $V_{m} (G)$ and $V_{n} (H)$ .…

math.GR2018★ 2 cited

The conjugacy problem for Thompson-like groups

Julio Aroca

In this paper we generalize techniques of Belk-Matucci to solve the conjugacy problem for every Thompson-like group $V_{n} (H)$ , where $n \geq 2$ and $H$ is a subgroup of the symmetri…

math.GT2018

Two remarks about multicurve graphs on infinite-type surfaces

Julio Aroca

After Fossas-Parlier, we consider two graphs $G_{0} (S)$ and $G_{\infty} (S)$ , constructed from multicurves on connected, orientable surfaces of infinite-type. Ou…