Banca de DEFESA: JOSENILDO SIMÕES DA SILVA

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
DISCENTE : JOSENILDO SIMÕES DA SILVA
DATA : 22/03/2018
HORA: 10:30
LOCAL: Auditório do CCET
TÍTULO:

Geometrical Equivalence, Group Representations, Action Type Geometrical Equivalence.

PALAVRAS-CHAVES:

Geometrical Equivalence, Group Representations, Action Type Geometrical Equivalence.

PÁGINAS: 82
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Matemática
SUBÁREA: Álgebra
RESUMO:

In the present work, we will see the defnition of geometrical equivalence between universal algebras (and specially, for groups), and so apply that concept to elements in the variety of all representations of groups over a fixed field. In that space, we consider pairs of equations in free representations (XKF(Y ); F(Y )), where X and Y are finite. After that, we will see another kind of geometrical equivalence: the action type geometrical equivalence, whose definition is very similar to the usual one, but in this case we consider only subsets of XKF(Y ) in the free representation (XKF(Y ); F(Y )), for finite X and Y. Here, we have two main objectives: the first is to study the different cases of geometrical equivalence and the second is to show an example which proves that we can not conclude the geometrical equivalence between two representations from their action type geometrical equivalence and the geometrical equivalence of their groups.

MEMBROS DA BANCA:
Presidente - 2147844 - ARKADY TSURKOV
Interno - 2425364 - ELENA ALADOVA
Externo à Instituição - MIKHAILO DOKUCHAEV - USP