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We introduce an orbifold induction procedure which provides a systematicconstruction of cyclic orbifolds, including their twisted sectors. Theprocedure gives counterparts in the orbifold theory of all thecurrent-algebraic constructions of conformal field theory and enables us tofind the orbifold characters and their modular transformation properties.Comment: 39 pages, LaTeX. v2,3: references added. v4: typos correcte

SYSTEMATIC APPROACH TO CYCLIC ORBIFOLDS