Play video content EXCLUSIVE TMZ.com

A Migos concert was cut short Saturday night in Georgia when police showed up and arrested all 3 members of the group ... for felony drug possession.

The "Versace" rappers were performing at Georgia Southern University's Spring Bling concert when a stage manager told the DJ to cut the music because cops had shown up ... according to eyewitnesses.

We're told all 3 members of Migos left the stage -- along with a posse that was at least 15 deep -- and they were all questioned by cops ... before getting hauled off to jail.

All 3 members of Migos -- Quavo, Offset and Takeoff -- got popped for felony possession of a schedule 2 narcotic (which could be cocaine, Oxycontin or codeine). They were were also arrested for carrying a loaded gun on school property, also a felony, and misdemeanor marijuana possession.