Thor, if I'm reading Jeff Noll's book of Regimental Markings correctly, "4.E.M.G.K.18.A.K." translates to: "4th Ersatz-Maschinengewehr- Kompagnien 18th Armeekorps" or 4th Replacement Machinegun Company of the 18th Army Corps.
According to his list, each Army Corps had from 2 to 7 such companies assigned. He also says that when E.M.G.K. markings are found, often the specific Army Corps is not identified. The marking is illustrated in the 1909 Official Regulations.
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