?Women could own property---and did in fact own more than a third of the land in Sparta---and they could dispose of it as they wished. Daughters inherited along with sons. Unfortunately, when we get down to the particulars there are some gaps in our knowledge. Attempts were made to get rid of the practice of needing a dowry to get married. It is possible that endeavors by fathers to get around the law have led to considerable confusion in our eyes as to what was a gift and what was a dowry. Daughters may have inherited half of what a son inherited; it is also possible that if you combine dowry with inheritance they ended up with a full share of the estate.
Spartan women had a reputation for boldness and licentiousness that other Greeks found unseemly. Women’s tunics were worn in such a way as to give them a little more freedom of movement and the opportunity to reveal a little leg and thigh if they so desired. Spartan girls competed in athletics at the same time as the boys and may have done so in the nude before a mixed audience. Plutarch mentions nude rituals witnessed by young men. The end of the fourth and the beginning of the fifth centuries BCE saw a decline in the number of men relative to women. Several men might share a wife and regard the children as their own. The woman would clearly be the dominant member of any such family. An unmarried man might approach a friend and ask if he could “borrow” his wife to produce a child for him. If the husband had all of the children he wanted and approved of the suitor he might agree. It is highly unlikely that the mature wife and mother lacked a strong voice in the arrangements, considering the power and status of adult women in everything else. Since marriage existed strictly for the procreation of children and not as an answer to emotional or social needs the arrangement would not have had the same meaning to them as it might to us."
(full article: http://www.womenintheancientworld.com/women%20in%20sparta.htm)
So while Athens was screwing around with them fancy columns and oppressing their women, Sparta got awesome and gave women rights. Another interesting fact I read was that married women were given knives to defend themselves against their husband if spousal abuse became a problem so they could shank their faces and the next day Sparta would see the slashes and shun them.