Oscar Ocampo

activity

20152021

most citedCrystallographic groups and flat manifolds from surface braid groups

4 citations · 8 across the 3 of their papers we have counts for

collaborators

5 papers

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.GT2018

Almost-crystallographic groups as quotients of Artin braid groups

Daciberg Lima Gonçalves, John Guaschi, Oscar Ocampo

Let $n, k \geq 3$ . In this paper, we analyse the quotient group $B_n /Γ_k (P_n)$ of the Artin braid group $B_n$ by the subgroup $Γ_k (P_n)$ belonging to the lower central series…

math.GT2018

Embeddings of finite groups in $B_{n} / Γ_{k} (P_{n})$ for $k = 2, 3$

Daciberg Lima Gonçalves, John Guaschi, Oscar Ocampo

Let $n \geq 3$ . In this paper, we study the problem of whether a given finite group $G$ embeds in a quotient of the form $B_{n} / Γ_{k} (P_{n})$ , where $B_{n}$ is the $n$ -string Artin braid g…

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…

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

Almost-crystallographic groups as quotients of Artin braid groups

Embeddings of finite groups in Bn​/Γk​(Pn​) for k=2,3

Quotients of the Artin braid groups and crystallographic groups

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

Embeddings of finite groups in $B_{n} / Γ_{k} (P_{n})$ for $k = 2, 3$