McKay conjecture
In mathematics, specifically in the field of group theory, the McKay Conjecture is a conjecture of equality between the number of irreducible complex characters of degree not divisible by a prime number to that of the normalizer of a Sylow -subgroup. It is named after Canadian mathematician John McKay.Statement
Suppose is a prime number, is a finite group, and is a Sylow -subgroup. Define
where denotes the set of complex irreducible characters of the group. The McKay conjecture claims the equality
where is the normalizer of in.
