Christine Bessenrodt

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In 1998, the second author raised the problem of classifying the irreducible characters of S n 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(More)
The well-known fact that there is always one more addable than removable box for a Young diagram is generalized to arbitrary hooks. As an application, this implies immediately a simple proof of a conjecture of Regev and Vershik 3] for which inductive proofs have recently been given by Regev and Zeilberger 4] and Janson 1].