Banca de DEFESA: RAFAEL DO SACRAMENTO LOPES

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : RAFAEL DO SACRAMENTO LOPES
DATE: 17/05/2022
TIME: 10:00
LOCAL: Virtual
TITLE:

Lie Methods in Group Theory

KEY WORDS:

finite nilpotent groups, p-groups; associated Lie structures for group; generators, relations, and presentations of groups; periodic groups, locally finite groups.

PAGES: 62
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Álgebra
SPECIALTY: Grupos de Álgebra Não-Comutaviva
SUMMARY:

Based on the monografies of Michael Vaughan–Lee [6] and of Charles R. Leedham-Green
and Susan McKay [4], this work focuses on the study of two constructions associating
Lie algebras to p-groups. These are used to solve the Restricted Burnside Problem and
the Coclass Conjectures, with the aim of translating a problem of group theory into the
theory of Lie algebras. To some extent, the two problems are of opposite nature, and
necessarily the associated Lie algebras are distinct. On the other hand, the method shows
great analogies, and in both cases the construction is based on the behaviour of powers
and commutators in a suitable descending central series.

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