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Seminario Teoría de grupos
21/9/2022
12:00 Aula Naranja ICMAT
Speaker: Noelia Rizo (University of Oviedo)
Title: On Clifford theory
Abstract: There are many open problems in ordinary and modular representation theory of finite groups and it is a general belief today that the way to approach these conjectures is through a reduction of them to problems on finite simple groups, and then use the Classification of Finite Simple Groups to solve them. By reducing we mean that our statement is true provided that some conditions are checked for every finite simple group.
To obtain these reduction theorems we need a powerful tool: Clifford theory. In this seminar, we explain this theory and we give an overview of some of the open problems in the area, making emphasis in the reduction theorems and the techniques involve to achieve them.