Banca de QUALIFICAÇÃO: RUAN BARBOSA FERNANDES
Uma banca de QUALIFICAÇÃO de MESTRADO foi cadastrada pelo programa.DISCENTE : RUAN BARBOSA FERNANDES
DATA : 01/11/2019
HORA: 17:30
LOCAL: Sala de seminários da Matemática
TÍTULO:
Automorphisms of the category of finitely generated free groups of the some subvariety of the variety of all groups
PALAVRAS-CHAVES:
Universal algebraic geometry, category theory, automorphic equivalence, nilpotent groups, periodic groups.
PÁGINAS: 65
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Matemática
RESUMO:
In universal algebraic geometry the category [UTF-8?]Θ0 of the finite generated free algebras of some fixed variety [UTF-8?]Θ of algebras and the quotient group A/Y are very important. Here A is a group of all automorphisms of the category [UTF-8?]Θ0 and Y is a group of all inner automorphisms of this category. In the varieties of all the groups, all the abelian groups (PLOTKIN; ZHITOMIRSKI, 2006), all the nilpotent groups of the class no more then n (n>1) (TSURKOV, 2007b) the group A/Y is trivial. B. Plotkin posed a question: "Is there a subvariety of the variety of all the groups, such that the group A/Y in this subvariety is not trivial?" A. Tsurkov hypothesized that exist some varieties of periodic groups, such that the groups A/Y in these varieties is not trivial. In this work we give an example of one subvariety of this kind.
MEMBROS DA BANCA:
Interno - 2340150 - ALEXEY KUZMIN
Presidente - 2147844 - ARKADY TSURKOV
Interna - 2425364 - ELENA ALADOVA