Oscar Ocampo

activity

20242026

collaborators

8 papers

math.GR2026

Forbidden relations in universal virtual braid groups

Oscar Ocampo, Charalampos Stylianakis

We study natural automorphisms of the universal virtual braid group $U V_{n} (k)$ . These automorphisms induce commuting involutions in the outer automorphism group and generate a subgr…

math.RT2026

Multi-welded twin groups

Mohamad N. Nasser, Oscar Ocampo

For $k \geq 1$ and $n \geq 2$ , we introduce the multi-welded twin group $M_{k} W T_{n}$ , a natural welded analogue of the multi-virtual twin group. We show that $M_{k} W T_{n}$ arises naturally…

math.RT2026

On Universal Virtual and Welded Braid Groups and Their Linear Representations

Mohamad N. Nasser, Oscar Ocampo

We introduce linear representations of the universal virtual braid group $U V_{n} (c)$ , where $n \geq 2$ and $c \geq 1$ , which is a unifying framework for braid-type groups with multiple…

math.GR2026

Universal virtual braid groups

Oscar Ocampo

We introduce the universal virtual braid group $U V_{n} (c)$ , which provides a unified algebraic framework for virtual braid--type structures with $c$ types of crossings and admits nat…

math.GR2026

Permutational wreath pullbacks and framed braid-type groups

Ãnio Leite, Oscar Ocampo

Let $I ¨ : G \to S_{n}$ be a surjective homomorphism and let $H$ be a group. We introduce the \emph{permutational wreath pullback} \[ H \wr_ÏG = H^n \rtimes_ÏG, \] where the act…

math.GR2025

Powers of half-twists and congruence subgroups of braid groups

Paolo Bellingeri, Celeste Damiani, Oscar Ocampo +1

In this work, we study the relationship between congruence subgroups $B_{n} [m]$ and $N_{n} (I ¨ _{1}^{m})$ the normal closure of $I ¨ _{1}^{m}$ , where $I ¨ _{1}$ is the classical generator of…