Cuff Titles that's what the sleeve bands are called.
From wikipedia but seems reliable enough
"In the Army, Air force, or Navy, the unit cuff title was worn on the right arm. In the SS, the cuff title was worn on the left arm. All campaign cuff titles were worn on the left arm. For example, someone who was in the army and fought in North Africa and later transferred to Grossdeutschland had an "Afrika" campaign cuff title on their left arm and their Grossdeutschland cuff title on their right arm (General Manteuffel's leather coat was an anomaly to this rule). An SS soldier who fought in Crete as a paratrooper and later joined 2nd SS Division Das Reich would have both of his cuff titles on the left arm. In this case one would usually see the unit cuff title placed below the campaign cuff title because the chances are that the individual received his jacket with his unit cuff title beforehand and then had his campaign cuff title affixed after the fact, but this was not always the case."
http://en.wikipedia.org/wiki/Cuff_title
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