I am having some difficulty seeing why the following statement is true:
If , then since , we have that .
Let a,b be coprime integers. Prove that every integer
The quadratic function
Let G be a finite group with with two ' numbers. We denote the number of q-Sylow subgroups of G and similarly for p. I have just shown that . Now I want to show that
i.e. that for with we that