Profinite rigidity, direct products and finite presentability - Professor Alan Reid(Rice University)

A finitely generated residually finite group G is called profinitely rigid, if for any other finitely generated residually finite group H, whenever the profinite completions of H and G are isomorphic, then H is isomorphic to G. In this talk we will review what is known about this in the context of groups arising in low-dimensional geometry and topology. We will then discuss some recent work that constructs finitely presented groups that are profinitely rigid amongst finitely presented groups but not amongst finitely generated one.

Видео Profinite rigidity, direct products and finite presentability - Professor Alan Reid(Rice University) канала Columbia University Department of Mathematics