σατραπεύω

A. to be a satrap, exercise the authority of one, δεῖ τὴν γυναῖκα σατραπεύειν X. HG 3.1.12, cf. SIG 302 (iv B.C.), al., PEleph. 1.1 (iv B.C.); ξατραπ‐, Arr. Fr. 10 J., cf. σατράπης.

2. c. gen., rule as a satrap, ς. τῆς χώρας X. HG 3.1.10, An. 3.4.31, cf. Plu. Them. 30: also c. acc., τὰ ἐν μέσῳ ς. X. An. 1.7.6; Αἴγυπτον Hld. 2.24: metaph. in Pass., Philostr. VA 1.27.