There were many examples of a society completely ruled by women in history. This is called Matriarchal Society. You might not believe that these societies still exist in every part of the world. The definition of Matriarchy is
"
A family, society, community, or state governed by women. A form of social organization in which the mother is head of the family, and in which descent is reckoned in the female line, the children belonging to the mother's clan; matriarchal system"
In matriarchal system, the female can have multiple husbands and all husbands get their surname from their wife. Wives never change their surname. The kids only borrow surnames from mother's family and only wife has authority over the children not the husband.
You can check the following links to know these societies still exist in many part of the world.
http://mentalfloss.com/article/31274/6-modern-societies-where-women-literally-rule
http://www.bbc.co.uk/news/magazine-16592633
My wife Ankita showed me this and she told I must change my surname with her family surname. She wants that done legally and wants to wait when it is appropriate time. Ankita did not even ask me if I am willing to do that or not. Even I didn't dare to tell her anything. I have a mixed feeling about it. It seems exciting and logical as she is the authority in our house, but at the same way difficult to do in our society. I'm little relaxed because she doesn't want it immediately and she will figure out how it can be done and what we would tell to our families. She likes the idea as she wants me to carry her surname forever and that would be true for our future kid. She does not want her future kid to carry the surname of my family as it is the rule enforced in all Matriarchal society or families.
Comment and share your thought. Thanks.