Banca de DEFESA: MIRELE PEREIRA DA SILVA

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : MIRELE PEREIRA DA SILVA
DATE: 10/07/2023
TIME: 16:30
LOCAL: Auditório do IME
TITLE:

Combinatorial properties of virtual braid groups

KEY WORDS:

Virtual Braid Groups; Homomorphism; Kernel

PAGES: 79
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Geometria e Topologia
SPECIALTY: Topologia Algébrica
SUMMARY:

In this work, we study some combinatorial properties of virtual braids, such as the lower central series of the virtual braid group $VB_n$ and also the kernels of two different projections of $VB_n$ onto the symmetric group $S_n$. These kernels are respectively the group of virtual pure braids $VP_n$ and the normal closure of the Artin braid group, denoted by $H_n$ and also known as $KB_n$. We describe the relationships between $H_n$ and $VP_n$, as well as the extended pure braid group $EP_n$, which is the kernel of the projection from $H_n$ to $S_n$. This name is motivated by the fact that $EP_n$ is precisely the intersection of $H_n$ and $VP_n$. Finally, we provide presentation for $EP_n$ in the cases where $n=2$ and $n=3$.

COMMITTEE MEMBERS:
Presidente - 2115559 - OSCAR EDUARDO OCAMPO URIBE
Externo à Instituição - IGOR DOS SANTOS LIMA - UnB
Externo à Instituição - JOSE GREGORIO RODRIGUEZ NIETO