Banca de DEFESA: Caio Barbosa da Cunha

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : Caio Barbosa da Cunha
DATE: 23/09/2022
TIME: 14:00
LOCAL: Departamento de Matemática
TITLE:

Nilpotent actions in non-abelian tensorial products of groups

KEY WORDS:

Non-Abelian tensor product; Action of groups; Nilpotent groups; Engel
groups; free construction

PAGES: 83
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Álgebra
SUMMARY:

Let G and H be groups which act compatibly on one another. Papers [14], [15]
and [22] consider a quocient η(G, H) of the free product G ∗H which is a group extension
of the non-abelian tensor product G⊗H. This paper aims to show that the group η(G, H)
is nilpotent if G and H are nilpotent groups which act nilpotently on each other. A couple
of exemples is given in detail to show that η(G, H) fails to be nilpotent when at least one
of the actions is non-nilpotent.

BANKING MEMBERS:
Externo à Instituição - DANILO SANÇÃO DA SILVEIRA
Interno - 2328733 - EMERSON FERREIRA ROCHA
Interno - 404654 - NORAI ROMEU ROCCO
Presidente - 1209688 - RAIMUNDO DE ARAUJO BASTOS JUNIOR