0000000000121667
AUTHOR
Jørn B. Olsson
Character restrictions and multiplicities in symmetric groups
Abstract We give natural correspondences of odd-degree characters of the symmetric groups and some of their subgroups, which can be described easily by restriction of characters, degrees and multiplicities.
On the Navarro–Willems conjecture for blocks of finite groups
Abstract We prove that a set of characters of a finite group can only be the set of characters for principal blocks of the group at two different primes when the primes do not divide the group order. This confirms a conjecture of Navarro and Willems in the case of principal blocks.