metro-, metr- +

(Greek: mother [family member])

matriarchy (s) (noun), matriarchies (pl)
A government ruled by a mother, mothers, or women: A matriarchy is that form of a social organization in which the mother, and not the father, is the head of the family, and in which descents and relationships are determined by mothers and not fathers.
matronym, metronym
A name derived from that of a mother or maternal ancestor.
metrocracy (s) (noun), metrocracies (pl)
Any community, society, or social group that is based on matriarchy: Metrocracy is a form of organization or government where women have power.

Metrocracy can be further explained as a form of social order where women are in charge and are recognized as the heads of families, with power, lineage, and inheritance passing, where possible, from mothers to daughters.

1. Derived from the name of a mother or other female ancestor; especially, by the addition of a suffix or prefix which indicates descent.
2. Also applied to a people or state of society where such a system of naming prevails.
3. A name derived from that of a mother or maternal ancestor.
metropolis (s) (noun), metropoli (pl), metropolises (pl)
1. Literally, "mother city".
2. A very large city, often the capital or chief urban center of a country, state, or region.
3. A chief center or seat of some form of activity.
4. In Greek history, the mother-city or parent-state of a colony; hence, occasionally applied to the parent-state of a modern colony.
1. Constituting a large urban area, usually including a city and its suburbs and outlying areas.
2. An inhabitant of a megalopolis.
Of or pertaining to a metropolis; being a metropolis; metropolitan; as, the metropolitical chair.