This may seem trifling but the 41st Armored Infantry Battalion wasn't formed until after the war. Originally, each armored division was allotted two regiments of armor and a regiment of armored infantry. In 1943, the regiments of all but two of the Army's armored divisions were broken up to form individual manuever battalions. The 41st Armored Infantry was one of the two armored infantry regiments that remained intact throughout the war (military history research isn't rocket science but it helps to know what you're doing; success or failure very often hinges on small, seemingly insignificant distinctions like the above).
Technician Fifth Grade Arthur W. Dreger, 35 046 824, was declared missing in action as of June 9, 1944. No remains were recovered and there's a memorial inscription or stone at American Battle Monuments Commission Normandy Cemetery, St. Laurent-sur-Mer, France.
His deceased file should contain the exact location - and possibly circumstances - of his disappearance. The file may also contain info that can help determine his platoon or company's activities in that area on that date. A division's (or even regiment's) line or area of responsibility may (and very often did) extend for miles and operations varied widely from one point to another.
You'll find instructions on how to order his file at Message #2112. Go back to the main page, enter "2112" in the box in the upper right corner labeled, "Jump to #____" then click on "Go".