Oscar Ocampo

activity

20152026

most citedCrystallographic groups and flat manifolds from surface braid groups

4 citations · 17 across the 12 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.GR2021★ 2 cited

Virtual braid groups, virtual twin groups and crystallographic groups

Oscar Ocampo, Paulo Cesar Cerqueira dos Santos Júnior

Let $n \geq 2$ . Let $V B_{n}$ (resp. $V P_{n}$ ) be the virtual braid group (resp. the pure virtual braid group), and let $V T_{n}$ (resp. $P V T_{n}$ ) be the virtual twin group (resp. the pure vi…

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…

Virtual braid groups, virtual twin groups and crystallographic 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

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