# LisMath Seminar

### Finding a nice supercharacter theory for the Sylow $p$-subgroups of the symmetric group

After a brief introduction to the history of supercharacters, we start with cyclic groups and several procedures will be explored as direct, semidirect and wreath product in order to study the supercharacter theory arising from the orbit method on algebra groups, aiming to find a pleasant combinatorial model for that. Some examples will be discussed in full detail.