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Created page with "== Introduction == Cyclotomic units are a fundamental concept in algebraic number theory, particularly in the study of cyclotomic fields. These units are elements of the group of units in the ring of integers of a cyclotomic field, which are generated by roots of unity. Cyclotomic units play a crucial role in the study of class numbers, Iwasawa theory, and the arithmetic of cyclotomic fields. They provide insight into the structure of the unit group and are instrume..."