SEMINARIO TEORÍA DE GRUPOS

The space of left-preorders of a free product

Ponente: Iván Chércoles (ICMAT-UCM)

Fecha: Martes, 19 de marzo de 2024 - 11:30

Lugar: Aula Naranja, ICMAT

Resumen:

The notion of left-order on a group has been studied before by many authors, as it is a useful tool to study infinite groups. We can define a topology on the set of left-orders of a given group. This topological space is called the space of left-orders. It is known that the space of left-orders of a finitely generated free product is a Cantor set. In this talk, we will consider left-preorders, a recent generalization of the notion of left-order. We will define the space of left-preorders and we will discuss some of its properties. We will conclude that the space of left-preorders of a finitely generated free product is a Cantor set.