Oscar Ocampo

activity

20152025

most citedCrystallographic groups and flat manifolds from surface braid groups

4 citations · 8 across the 4 of their papers we have counts for

collaborators

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5 papers · 1 filter

math.GR2024

Coxeter-type quotients of surface braid groups

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

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…

math.GR2024

Characteristic subgroups and the R $_{\infty}$ -property for virtual braid groups

Karel Dekimpe, Daciberg Lima Gonçalves, Oscar Ocampo

Let $n \geq 2$ . Let $V B_{n}$ (resp. $V P_{n}$ ) denote the virtual braid group (resp. virtual pure braid group), let $W B_{n}$ (resp. $W P_{n}$ ) denote the welded braid group (resp. welded pure…

math.GR2021★ 1 cited

The conjugacy problem and virtually cyclic subgroups in the Artin braid group quotient $B_{n} / [P_{n}, P_{n}]$

Oscar Ocampo, Paulo Cesar Cerqueira dos Santos Júnior

Let $n \geq 3$ . In this paper we deal with the conjugacy problem in the Artin braid group quotient $B_{n} / [P_{n}, P_{n}]$ . To solve it we use systems of equations over the integers arising…

math.GR2021★ 4 cited

Crystallographic groups and flat manifolds from surface braid groups

Daciberg Lima Gonçalves, John Guaschi, Oscar Ocampo +1

Let $M$ be a compact surface without boundary, and $n \geq 2$ . We analyse the quotient group $B_{n} (M) / Γ_{2} (P_{n} (M))$ of the surface braid group $B_{n} (M)$ by the commutator subgroup $Γ…

math.GR2015★ 3 cited

Quotients of the Artin braid groups and crystallographic groups

Daciberg Lima Gonçalves, John Guaschi, Oscar Ocampo

Let n be greater than or equal to 3. We study the quotient group B\_n/[P n,P\_n] of the Artin braid group B\_n by the commutator subgroup of its pure Artin braid group P\_n. We sho…

Coxeter-type quotients of surface braid groups

Characteristic subgroups and the R∞​-property for virtual braid groups

The conjugacy problem and virtually cyclic subgroups in the Artin braid group quotient Bn​/[Pn​,Pn​]

Crystallographic groups and flat manifolds from surface braid groups

Quotients of the Artin braid groups and crystallographic groups

Characteristic subgroups and the R $_{\infty}$ -property for virtual braid groups

The conjugacy problem and virtually cyclic subgroups in the Artin braid group quotient $B_{n} / [P_{n}, P_{n}]$