In the communist society who owns the means of production?

This is a question that would be inapplicable to a Communist society. Keeping in mind that these things are up for argument, think of the situation more like this:

- Under capitalism, one could look at a factory (i.e., a piece of the means of production) and tell me who owns it.

- In the transition from capitalism to Communism (which is what some socialists mean by the Word socialism), one might say that "the people" or "the state" owns the factory.

- In a Communist world, one might look at a factory, ask someone who owns it, and have that person answer "Own? What do you mean?" In other Words, the concept of ownership, at least as it pertains to non-personal items, would be inapplicable.