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THE PRODUCT OF A GENERALIZED QUATERNION GROUP AND A CYCLIC GROUP

THE PRODUCT OF A GENERALIZED QUATERNION GROUP AND A CYCLIC GROUP

Abstract Let $X=GC$ be a group, where C is a cyclic group and G is either a generalized quaternion group or a dihedral group such that $C\cap G=1$ . In this paper, X is characterized and, moreover, a complete classification for $X$ is given, provided that G is a generalized …