Department of Mathematics

Indian Institute Of Technology Madras , Chennai

Probabilistic laws on groups

Speaker : Guy Blachar, Department of Mathematics, Bar-Ilan University, Ramat-Gan, ISRAEL.

25-09-2024

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.

Key Speaker Guy Blachar, Department of Mathematics, Bar-Ilan University, Ramat-Gan, ISRAEL.
Place KCB 504
Start Time 3:30 PM
Finish Time 4:30 PM
External Link None