This is false- socialism does not require both ownership and control of the means of production- that would be communism.
Socialism I that stage before communism when the government takes varying degrees of control over business but does not bear the burden or risks of owning it.
That the way I always thought of it
Fascism is a form of socialism that controls by the regulation of private property.
Communism is a form of socialism that controls by the ownership of private property.