Oscar Ocampo

activity

20242026

collaborators

4 papers

math.GR2026

Positive cones and bi-orderings on almost-direct products of free groups

Oscar Ocampo, Juliana Roberta Theodoro de Lima

Almost-direct products of free groups arise naturally in braid theory and in the study of automorphism groups of free groups. Although bi-invariant orderings are known to exist for…

math.GR2026

On virtual singular braid groups

Oscar Ocampo

The virtual singular braid group arises as a natural common generalization of classical singular braid groups and virtual braid groups. In this paper, we study several algebraic pr…

math.GT2025

The R $_{\infty}$ -property for braid groups over orientable surfaces

Karel Dekimpe, Daciberg Lima GonÃ§alves, Oscar Ocampo

Let $I^£_{g, p}$ be an orientable surface of genus $g$ and of finite type without boundary (i.e. an orientable closed surface with a finite number $p$ of points removed). In this pap…

math.GR2024

Coxeter-type quotients of surface braid groups

Renato Diniz, Oscar Ocampo, Paulo Cesar Cerqueira dos Santos JÃºnior

Let $M$ be a closed surface, $q \geq 2$ and $n \geq 2$ . In this paper, we analyze the Coxeter-type quotient group $B_{n} (M) (q)$ of the surface braid group $B_{n} (M)$ by the normal clos…

Positive cones and bi-orderings on almost-direct products of free groups

On virtual singular braid groups

The R∞​-property for braid groups over orientable surfaces

Coxeter-type quotients of surface braid groups

The R $_{\infty}$ -property for braid groups over orientable surfaces