τετραρχία

τ, ἡ
A. tetrarchy, the province of a tetrarch, esp. of Thessaly, the four provinces being Thessaliotis, Phthiotis, Pelasgiotis, Hestiaeotis, Hellanic. 52J., E Alc. 1154, D. 9.26, Theopomp.Hist. 201; also of the four divisions of each of the three Galatian tribes, Str. 12.5.1; ἡ τῶν δώδεκα τ. βουλή v.l. ibid.; cf. τετράς 11.
2. generally, of the divisions of Roman protectorates, e.g. Palestine under Augustus, J. BJ 2.6.3; districts adjacent to Syria, tetrarchiae regnorum instar singulae, Plin. HN 5.74.
II. τ. ἱππική the command of four λόχοι, Arr. An. 3.18.5, cf. Id. Tact. 10.1, Ael. Tact. 9.2, Ascl. Tact. 2.8; Φιλίππου τετραρχίας ἔργον monument erected by Philip's τ., IG 9(1).316 (Scarphea, Locr. Orient., iv B.C.).
Liddell, Scott & Jones
A Greek-English Lexicon, 1940
An open-access project