26/06/2018, 12:00 — 12:30 — Room 6.2.33, Faculty of Sciences of the Universidade de Lisboa
Filipe Gomes, LisMath, Faculdade de Ciências, Universidade de Lisboa
Supercharacter Theories and Multiplicative Ramification Graphs
Supercharacter theories are generalizations of the usual character theory of a group. In this talk, we construct graded graphs using restriction and superinduction of supercharacters and use them to determine the extreme supercharacters of direct limits of certain groups. We mention the infinite unitriangular group as a particularly important example of this construction.