The meeting #218 will be held on
May 18 at 18:00 (Omsk time), 19:00 (Novosibirsk time), 07:00 (New York time), 15:00 (Moscow time).
Motiejus Valiunas (University of Wroc艂aw, Poland) will present his talk
"Residually finite and equationally Noetherian groups".
We say a group G is residually finite (RF) if any non-trivial element of G is non-trivial in some finite quotient, and equationally Noetherian (EN) if every system of equations in G is equivalent to a finite subsystem. These two properties, although a priori unrelated, turn out to exhibit similar behaviour, especially among finitely generated groups. For instance, all finitely generated linear groups and rigid soluble groups are both RF and EN, certain wreath products and non-Hopfian groups are neither, and both of these properties are stable under taking subgroups, direct and free products, and finite extensions. Until recently, we did not seem to know any explicit examples of finitely generated groups that are RF but not EN, or vice versa.
In this talk, I will compare and contrast the classes of finitely generated RF and EN groups. On the one hand, I will illustrate the similarities between these two classes by discussing their shared properties and introducing several "natural" common subclasses. On the other hand, I will give easy examples of finitely generated groups that are RF but not EN, and vice versa.
You can connect to the Zoom conference via this link: or manually in the Zoom app using the conference ID 812 2079 3393.
Please pay attention to the following rules for conducting an Internet seminar:
- Please, use your real first and last name
- Keep your microphone off during the talk
- Should you have any questions, ask them in the chat
