The phrase "a minor position" is correct and usable in written English.
It can be used to refer to a role or job that is of lesser importance or responsibility within an organization or context.
Example: "Although I started in a minor position, I quickly worked my way up to a leadership role."
Alternatives: "a subordinate role" or "a lesser position".
By 1858 he had acquired a minor position at the Harvard University observatory, where he did research and wrote papers.
Frum has been frog-marched from his Kremlin office and exiled to a minor position in Nobuxograd.
He said Mr. Gordon's firm had "forged its way strictly on the merits from a minor position in 1931 to that of one of the country's leading underwriters".
He accepted a minor position at Johns Hopkins University, Baltimore, Md., in 1889 and within a year was appointed associate in mathematics at Clark University, Worcester, Mass.
He held a minor position at the Israelitic Institute for the Blind (1925 31) and from 1932 on gave private lecture courses.
By then a convinced believer in such pentecostal phenomena as speaking in tongues, Irving preached throughout Great Britain, returning to London to assume a minor position in the evolving Catholic Apostolic Church.
Climate change and renewable energy - although identified as crucial concerns - are relegated to a relative minor position.
Compared with that, Physics, Chemistry, Biology, Geography, History, Politics and other subjects are in a relatively minor position, and their weight in NSHSEE and NCEE are lower than that of Chinese, Mathematics and English.
She suggests that while people have therefore taken Poulton for a staunch Darwinist and supporter of sexual selection, he "lost his initial enthusiasm for the theory" and "came to relegate it to a very minor position" in evolution.
Three imperially sponsored anthologies of Chinese poetry appeared between 814 and 827, and it seemed for a time that writing in Japanese would be relegated to an extremely minor position.
