Your using a specific definition of fascism that isn't shared. Fascism is a vaguely defined term that is almost always synonymous with authoritarian/totalitarian/dictatorial. It's a base slur.

I find it hard to believe there are many historians would call Nazis fascist

The classic fascist alliance is the alliance between Mussolini's Italy and Nazi Germany. If you say Fascist most people will think of Nazi Germany.

but there's a difference between control of industry and commerce and the total absence of private property.

A total absence of private property logically requires control of commerce and industry.

Forcible suppression can be seen in many regimes we wouldn't typically describe as fascists such as European colonial governments

Right, because meeting one of the requirements does not necessarily mean you are fascist. Grass is green, apples are green, this does not mean apples are grass.

and the dictatorial power is like I said an overlap in totalitarianism rather than proof the three ideologies are the same.

Fascism isn't a specific ideologically, it's a vague catch all term that Mussolini's Italy, Nazi Germany and the USSR all fit under.

I edited my previous post before you replied, so sorry about that. I am not really interested in continuing this discussion, the definition and traits of fascism are not limited to 'right wing' ideologies. Fascism is by convention put on the far right end of the right wing spectrum but the right wing and left wing are completely unsatisfactory descriptions of complex political positions and opinions in the first place, it is an approximation not a strict definition. I'm going to sleep.