Departamento de Matemáticas UAM

Seminario Teoría de grupos UAM-ICMAT

Jueves, 10 de Mayo, Aula 520 (UAM), 12:00

Ponente: Javier Sánchez Serdà (Universidade de Sao Paulo)

Título: Embedding group algebras of torsion-free one-relator products of locally indicable groups in division rings

Abstract: Let $A$ and $B$ be locally indicable groups and $w$ a word in the free product $Acoprod B$ which is not
conjugate to an element of $A$ nor of $B$ and such that the one-relator product
$G=frac{Acoprod B}{lhd wrhd}$ is torsion free.

Let $K$ be a division ring and $K*G$ a crossed product group ring.
We show that  $K*G$ can be embedded in a division ring under certain conditions.

This is a joint work with Dolors Herbera.