Banca de DEFESA: Millena Andrade da Silva

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : Millena Andrade da Silva
DATE: 10/08/2023
TIME: 14:30
LOCAL: Departamento de Matemática
TITLE:

Groups in which every subgroup has subnormal defect at most three.

KEY WORDS:

Commutators, defect, subnormality, nilpotency, dedekindian groups.

PAGES: 55
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

In this work we study groups in which every subgroup has subnormal defect less than or equal to 2. We divide our investigation into the study of groups with defect 1 and 2. For groups with defect 1, called Dedekind groups, our main objective is to demonstrate the Dedekind-Baer Theorem that gives us a classification of non-abelian Dedekind groups. For groups with defect 2, we present the classes S, A and T and study the continence relations between them. Based in Mahdavianary and Heineken, we also show that groups in these classes are nilpotent with nilpotency class less than or equal to 3.

COMMITTEE MEMBERS:
Externo à Instituição - ANDERSON LUIZ PEDROSA PORTO - UFVJM
Interno - 1601562 - ALEX CARRAZEDO DANTAS
Interno - 1198222 - EMERSON FERREIRA DE MELO
Presidente - 1984613 - IGOR DOS SANTOS LIMA