Woman carry babies, as in throughout pregnancy. They are weaker than men.
That's it really, that is the whole issue.
men don't actually have their baby come out of their body, it comes out of someone else's body, so how do they know it is theirs?
Well, until DNA testing, as in for 99.999% of the lifetime of the human race, only by controlling woman and female sexuality, so that there is no opportunity for their woman to mate with someone else.
And in later centuries, when your legitimate male heirs inherited your life time's achievement, legitimacy, and faithfulness in marriage, had to be imposed, and the whole dominance, obedience and control thing became socially and institutionally embedded, and it still is.
That's what I think anyway.