Nikolay Nikolov: On conjugacy classes in compact groups

Speaker: Nikolay Nikolov

Title: On conjugacy classes in compact groups

Abstract:

It's a classical result that the number of conjugacy classes of a finite group G tends to infinity as |G| tends to infinity.  In this talk I will present joint work with Andrei Jaikin-Zapirain. Our result is that an infinite compact Hausdorff group has uncountably many conjugacy classes. The proof relies on the classification of finite simple groups and the studies of finite groups with almost regular automorphisms.