Banca de DEFESA: BRUNA LIMA MOREIRA

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : BRUNA LIMA MOREIRA
DATE: 27/01/2023
TIME: 09:00
LOCAL: virtual
TITLE:

The Zassenhaus conjecture

KEY WORDS:

Group rings, units in group rings, torsion units in integral group rings, Zassenhaus conjectures.

PAGES: 67
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Álgebra
SPECIALTY: Grupos de Álgebra Não-Comutaviva
SUMMARY:

In the mid 1960’s, the german mathematician Hans J. Zassenhaus, inspired by
Gram Higman’s thesis and the work of Ian Hughes and Kenneth R. Pearson, stated several
conjectures that changed radically the field of research in group rings. Since then many
papers have been published about these conjectures, where either an affirmative answer
is settled for some specific case, or some counterexamples are determined. Still, it is only
very recently that Florian Eisele and Leo Margolis, based on some joint work with Ángel
del Rı́o, have found a counterexample for the only conjecture which has been left open.
This fact motivated the writing of this dissertation.

COMMITTEE MEMBERS:
Presidente - 1033528 - MANUELA DA SILVA SOUZA
Externo ao Programa - 3082957 - NICOLA SAMBONET - UFBAExterno à Instituição - MARTINO GARONZI - UnB