Speaker: Kyle Gannon (BICMR)

Time: 17:30 -19:00 p.m., April 2, 2025

Venue: Lecture Hall, Jiayibing Building, Jingchunyuan 82, BICMR

Abstract: 

Suppose that G is a group and I is an infinite index set. Then one can easily construct automorphisms from  to itself by permuting indices and choosing an indexed family of automorphism from G to itself. However, the natural question then arrises: when does every automorphism of  essentially decompose into the form described above? In general, we are interested in when classes of groups have such property with respect to all (reduced) products. Using model theoretic methods, one can show that certain natural families of groups have such property and that a total characterization is quite complicated. This is joint work with Ilijas Farah and Pierre Touchard. 

Source: Beijing International Center for Mathematical Research, PKU