from The Century Dictionary and Cyclopedia
- Organized on the basis of descent in the female line and governed by woman or by her male relatives; matriarchal.
Sorry, no etymologies found.
For the adjectival forms androcratic and gynecocratic, and for similar locutions, we generally use "Men's-State" and "Women's-State," with a hyphen to indicate that the significance is adjectival.
The theory persists to-day as a vestige from a past epoch -- much as, according to Gray, there is still to be found in androcratic China a gynecocratic oasis where the ancient dominance of women has been preserved without change.