Seminario

Seminario de Teoría de Grupos

Parafree groups and embeddings into pro-p groups

Ponente:   Ismael Morales (UAM)
Fecha:  martes 15 de junio de 2021 - 11:30
Lugar:  Online - conectaha.csic.es/b/yag-mxb-nuz-m1o

Resumen:
A group is said to be parafree if it is residually nilpotent and has the same nilpotent quotients as some free group. In this talk, we discuss methods for constructing embeddings of certain classes of groups, including one-relator groups, into free pro-p groups. In particular, we will see how they can be applied to produce many examples of parafree groups. These methods rely on some topological arguments and, mainly, on ideas coming from the study of group rings, such as the development of a "dimension theory" on their modules.