The phrase "a central administration" is correct and usable in written English.
It can be used to refer to the main governing body or management structure of an organization, institution, or government.
Example: "The university's operations are overseen by a central administration that coordinates all departments."
Alternatives: "a main administration" or "a primary administration".
He undertook extensive public works and created a central administration.
The system will not have a school board or a central administration.
A central administration room has been occupied by students since 18 March.
The proposed system is organised as a fully heterarchical architecture, without a central administration or system orchestrators.
King John III resolved to strengthen his authority in Brazil by unifying the inefficient donatários under a central administration.
The London School of Economics is taking legal action against students who have been occupying a central administration room since March.
From a loose confederation of tribes — however idealistic that picture was — but from a loose confederation of tribes united by a covenant, we've now got a nation with a strong central administration, it's headed by a king.
Yet even the Ionians, at the best of times, often realized the mutual advantages and benefits of the king's peace and a unified western Asia under a tolerant central administration.
In 2001 the regional municipality was replaced by the City of Greater Sudbury, which amalgamated those municipalities and other surrounding unincorporated localities under a single central administration.
The promise of autonomy for a university based in Newark, which the proposal calls the University of New Jersey-North, dispelled earlier rumors that the plan would shift power to a single central administration in New Brunswick.
Lastly, Usman's importance lies in his activities as founder of a jamāʿa, or Islamic community, the Sokoto caliphate, which brought the Hausa states and some neighbouring territories under a single central administration for the first time in history.
