Men hold all the power in themyscira, while the only marriages are between amazons and men,
the men, and not the amazons, hold the power to select their partner, the amazon typically attempts to woo her desired husband in many ways, most commonly including serenading him, as amazons sing during their marches and formation practices, a good singing voice is highly prized by the men in selecting a wife, it's even more important then appearance (a surprise given how dedicated the society is to it's eugenics), stories tell of a heavily scarred amazon who wooed the most handsome man in thymescira, merely by singing her love to him from a distance, he then set out to find the amazon with such a beautiful voice, and, well it's basically cinderella, including her scars magically disappearing with true love's kiss.
The men control all the holdings of the household, including giving orders to the slaves, and managing the domestic affairs of the city-state, they would get together with the other men and plan out what needs to be done, and then they would lead the slaves in doing it, whether farming or storing food, building new buildings and fortifications, forging spartan-style helms, armors, gloves, boots, shields, swords, spears, and bows, breaking and training horses, managing trade between the various guilds, basically anything else required for the home-front.
The slaves attend to every command of the man, including satisfying his sexual needs, this adultery is not only tolerated, but encouraged, as one of the slave's most vital duties, if not the most essential duty, you see, a female born to an amazon will almost always be amazon, with only a small percentage of being born a slave, but the female child of a slave will always be a slave, and since slaves do basically everything, men who steadfastly remain faithful to their wives are typically raped by their slaves in their fertile years (all of them, and at the same time), and chastised by their wife, as the production of the next generation of slaves is a man's job as well.
amazons who get pregnant typically do not inform their husbands until after the child has been born, and, if an amazon, judged, this is done for the sake of the fatherPost too long. Click here to view the full text.