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Every finite group G acts as an automorphism group of several bordered compact Klein surfaces. The minimal genus of these surfaces is called the real genus and denoted by ρ(G).The systematical study was begun by C.L. May and continued by him in several other papers about the topic. As a consequence of these works, he and other authors obtained the groups such that 0⩽ρ(G)⩽8. The real genus of many...