The Fifth Air Force reference article from the English Wikipedia on 24-Jul-2004
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Fifth Air Force

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One of the few numbered air forces never stationed in the United States, Fifth Air Force is also one of the oldest and continuously active. It engaged in combat in the Pacific during World War II and remained in Japan following the war. The Fifth was the combat air force in Korea during the Korean conflict, then returned and remains located in Japan.

Commands During World War II