John Guaschi

activity

20042025

most citedThe braid groups of the projective plane

30 citations · 263 across the 34 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.GT2018★ 1 cited

Lower central series, surface braid groups, surjections and permutations

Paolo Bellingeri, Daciberg Lima Gonçalves, John Guaschi

Generalising previous results on classical braid groups by Artin and Lin, we determine the values of m, n $\in$ N for which there exists a surjection between the n-and m-string bra…

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★ 1 cited

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.GT2018★ 2 cited

The lower central and derived series of the braid groups of compact surfaces

John Guaschi, Carolina De Miranda E Pereiro

Let M be a compact surface, either orientable or non-orientable. We study the lower central and derived series of the braid and pure braid groups of M in order to determine the val…

Lower central series, surface braid groups, surjections and permutations

Almost-crystallographic groups as quotients of Artin braid groups

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

The lower central and derived series of the braid groups of compact surfaces

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