Banca de DEFESA: RUAN BARBOSA FERNANDES

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : RUAN BARBOSA FERNANDES
DATE: 03/05/2020
TIME: 11:00
LOCAL: ambiente virtual
TITLE:

Automorphisms of the category of finitely generated free groups of certain subvariety of the variety of all groups

KEY WORDS:

Universal algebraic geometry, category theory, automorphic equivalence, nilpotent groups, periodic groups.

PAGES: 68
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Álgebra
SUMMARY:

In universal algebraic geometry the category of the finite generated free algebras of some fixed variety of algebras and the quotient group A/Y are very important. Here A is a group of all automorphisms of the category 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.

BANKING MEMBERS:
Externo à Instituição - EVGENY PLOTKIN - Bar-Ilan
Interno - 2340150 - ALEXEY KUZMIN
Presidente - 2147844 - ARKADY TSURKOV
Interna - 2425364 - ELENA ALADOVA