Prime power degree representations of the symmetric and alternating groups

@inproceedings{Balog2000PrimePD,
  title={Prime power degree representations of the symmetric and alternating groups},
  author={Antal Balog and Christine Bessenrodt and J\orn B. Olsson and Ken Ono},
  year={2000}
}
In 1998, the second author raised the problem of classifying the irreducible characters of Sn of prime power degree. Zalesskii proposed the analogous problem for quasi-simple groups, and he has, in joint work with Malle, made substantial progress on this latter problem. With the exception of the alternating groups and their double covers, their work provides a complete solution. In this article we first classify all the irreducible characters of Sn of prime power degree (Theorem ??), and then… CONTINUE READING