Brassard

A brassard or armlet (British English) is an armband or piece of cloth or other material worn around the upper arm, used as an item of military uniform to which rank badges (or other insignia) may be attached instead of being stitched into the actual clothing. The brassard, when spread out, may be roughly rectangular in shape, where it is worn merely around the arm; it may also be a roughly triangular shape, in which case the brassard is also attached to a shoulder strap.