On completion groups that are not complete and infinite towers of profinite groups

Seminar
Speaker
Tamar Bar-On (Bar-Ilan University)
Date
01/01/2020 - 12:00 - 11:00Add to Calendar 2020-01-01 11:00:00 2020-01-01 12:00:00 On completion groups that are not complete and infinite towers of profinite groups We investigate profinite completions of non-strongly complete profinite groups. We present and study the tower of profinite completions.  Furthermore, we study how far a non-strongly complete profinite group can be from being strongly complete, i.e. how many non-open finite-index subgroups it admits.  Third floor seminar room (room 201, building 216) אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
Third floor seminar room (room 201, building 216)
Abstract

We investigate profinite completions of non-strongly complete profinite groups. We present and study the tower of profinite completions.  Furthermore, we study how far a non-strongly complete profinite group can be from being strongly complete, i.e. how many non-open finite-index subgroups it admits. 

תאריך עדכון אחרון : 16/12/2019