SEMINARIO TEORÍA DE GRUPOS

The finite and the soluble genus of a finitely generated free group

Ponente: Andrei Jaikin-Zapirain (UAM)

Fecha: Jueves, 23 de septiembre de 2021 - 10:30

Lugar: Aula Naranja (ICMAT) y online

Resumen:

A well-known question of Remeslennikov asks if finitely generated residually finite groups with free profinite completion are free. I will show that such groups should be residually nilpotent (and so, parafree). I will also show that the same conclusion holds for finitely generated residually-(finite soluble) groups with free prosoluble completion.