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A semi-projective representation is a homomorphism of a finite group into thegroup of semi-projective transformations of a finite dimensional vector spaceover a field. Schur's concept of a representation group for projectiverepresentations is extended to semi-projective representations under theassumption that the field is algebraically closed. A computer algorithm isgiven that produces, for a given finite group, all such twisted representationgroups under trivial or conjugation actions on the field of complex numbers.

Semi-Projective Representations and Twisted Representation Groups