Seminar series
Date
Tue, 16 May 2023
Time
14:00 -
15:00
Location
L6
Speaker
Tamar Bar-On
Organisation
University of Oxford
The pro-C completion of a free profinite group on an infinite set of generators is a profinite group of a greater rank. However, it is still not known whether it is a free profinite group too. We will discuss this question, present a positive answer for some special varieties, and show partial results regarding the general case. In addition, we present the infinite tower of profinite completions, which leads to a generalisation for completions of higher orders.