Probabilistic laws on groups
Seminar
Speaker
Guy Blachar (Bar-Ilan University)
Date
04/01/2023 - 11:30 - 10:30Add to Calendar
2023-01-04 10:30:00
2023-01-04 11:30:00
Probabilistic laws on groups
Suppose a finite group satisfies the following property: If you take two random elements, then with probability bigger than 5/8 they commute. Then this group is commutative.
Starting from this well-known result, it is natural to ask: Do similar results hold for other laws (p-groups, nilpotent groups...)? Are there analogous results for infinite groups? Are there phenomena specific to the infinite setup?
We will survey known and new results in this area. New results are joint with Gideon Amir, Maria Gerasimova and Gady Kozma.
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https://us02web.zoom.us/j/87856132062
Meeting ID: 878 5613 2062
Third floor seminar room and Zoom
אוניברסיטת בר-אילן - Department of Mathematics
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
Place
Third floor seminar room and Zoom
Abstract
Suppose a finite group satisfies the following property: If you take two random elements, then with probability bigger than 5/8 they commute. Then this group is commutative.
Starting from this well-known result, it is natural to ask: Do similar results hold for other laws (p-groups, nilpotent groups...)? Are there analogous results for infinite groups? Are there phenomena specific to the infinite setup?
We will survey known and new results in this area. New results are joint with Gideon Amir, Maria Gerasimova and Gady Kozma.
================================================
https://us02web.zoom.us/j/87856132062
Meeting ID: 878 5613 2062
Last Updated Date : 21/12/2022
