Charalampos Stylianakis

activity

20152026

most citedCongruence subgroups of braid groups and crystallographic quotients. Part I

1 citations · 1 across the 4 of their papers we have counts for

collaborators

8 papers

math.GR2026

Forbidden relations in universal virtual braid groups

Oscar Ocampo, Charalampos Stylianakis

We study natural automorphisms of the universal virtual braid group $U V_{n} (k)$ . These automorphisms induce commuting involutions in the outer automorphism group and generate a subgr…

math.GT2026

Finiteness properties of the Torelli group of surfaces with 2 boundary components

Charalampos Stylianakis

In this paper we prove that the Torelli group of a surface of genus at least 3 with 2 boundary components is finitely generated. As a consequence, we answer Putman's question on th…

math.GR2025

Powers of half-twists and congruence subgroups of braid groups

Paolo Bellingeri, Celeste Damiani, Oscar Ocampo +1

In this work, we study the relationship between congruence subgroups $B_{n} [m]$ and $N_{n} (σ_{1}^{m})$ the normal closure of $σ_{1}^{m}$ , where $σ_{1}$ is the classical generator of $B…

math.GR2024

Congruence subgroups of braid groups and crystallographic quotients. Part II

Paolo Bellingeri, Celeste Damiani, Oscar Ocampo +1

Following previous work on congruence subgroups and crystallographic braid groups, we study the lower central series of congruence braid groups related to the braid group $B_{3}$ , sh…

math.GR2024★ 1 cited

Congruence subgroups of braid groups and crystallographic quotients. Part I

Paolo Bellingeri, Celeste Damiani, Oscar Ocampo +1

This paper is the first of a two part series devoted to describing relations between congruence and crystallographic braid groups. We recall and introduce some elements belonging t…

math.GR2023

Abelian quotients for groups generated by cubed half-twists

Charalampos Stylianakis

Below we construct non-cyclic and torsion-free abelian quotients for subgroups of braid groups generated by cube powers of half-twists. In the case of 3 and 4 strands we compute th…

math.GR2016

Congruence subgroups of braid groups

Charalampos Stylianakis

In this paper we give a description of the generators of the prime level congruence subgroups of braid groups. Also, we give a new presentation of the symplectic group over a finit…

math.GR2015

The normal closure of a power of a half-twist has infinite index in the mapping class group of a punctured sphere

Charalampos Stylianakis

In this paper we show that the normal closure of the mth power of a half-twist has infinite index in the mapping class group of a punctured sphere. Furthermore, in some cases we pr…