Julio Aroca

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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

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…