There is no wage gap - there is a value gap. The value of labor cannot be established by fiat.
Oh yes it can, it's called Communism.
There actually IS a wage gap but the truth is that women are paid slightly MORE than men on average for the same work. This has been established for a while now. All this 77 cents on the dollar junk is just that, JUNK! It has not been true for a long time if it ever was.
On top of that women are by far the majority of students in higher education now. First in line to be hired are black women, last in line are white men. A black woman can get a job in South Carolina in a government office before a white man can get in the door to ask for an application.