Let (X,T) be a minimal transformation group and let j be a homomorphism of (X,T). We will find a maximal factor of (X,T) with respect toj. That is, we will find a minimal transformation group (Y,T), an auto Orphism y: ((Y,T)® (Y,T), and a homomorphism p: (X,T) ®(Y,T), such that the following diagram commutes
X®X
¯p ¯p
Yy®Y
….