Subjection, n.
Etymology: [L. subjectio: cf. OF. subjection, F. subjétion. See Subject, a.]
1. The act of subjecting, or of bringing under the dominion of another; the act of subduing. The conquest of the kingdom, and subjection of the rebels. Sir M. Hale.
2. The state of being subject, or under the power, control, and government of another; a state of obedience or submissiveness; as, the safety of life, liberty, and property depends on our subjection to the laws. "To be bound under subjection." Chaucer. Likewise, ye wives, be in subjection to your own husbands. 1 Peter iii. 1. Because the subjection of the body to the will is by natural necessity, the subjection of the will unto God voluntary, we stand in need of direction after what sort our wills and desires may be rightly conformed to His. Hooker.
Shades of meaning
Fernald has no entry of its own for subjection; he lists it under allegiance.
Where he writes about it:
A patriotic American feels an enthusiastic loyalty to the republic; he takes, on occasion, an oath of allegiance to the government, but his loyalty will lead him to do more than mere allegiance could demand; he pays homage to God alone, as the only king and lord, or to those principles of right that are spiritually supreme; he acknowledges the duty of obedience to all rightful authority; he resents the idea of subjection. — from allegiance