Prossimi Seminari
Prossimi Seminari
Titolo: From rational groups to groups with quadratic values on the character table
Abstract: Rational groups have been an object of interest in representation theory for many years. Recall that a group is said to be rational if its character table is rational valued. There are some families of groups that arise as generalizations of rational groups, for instance, semi-rational or character quadratic groups. In these examples, the values of each row in the character table are contained in some quadratic field, not necessarily the same. In the case where the field is exactly the same we say that the group is quadratic.
In this seminar I will talk about these groups (when they are also solvable) and present some related problems.