Sets of integers as superdegrees and superclass sizes
Sets of integers as superdegrees and superclass sizes
Supercharacters have recently been proposed as a sort of stand-in for the characters of $p$-groups. If $q>1$ is a prime power, then every set of $q$-powers that contains $1$ is both a set of superdegrees and a set of superclass sizes. Moreover, if $r$ and $s$ are integers that are …