Matches in DBpedia 2014 for { ?s ?p In mathematics, a cyclotomic unit (or circular unit) is a unit of an algebraic number field which is the product of numbers of the form (ζan − 1) for ζn an nth root of unity and 0 < a < n. Note that if n is the power of a prime ζan − 1 itself is not a unit; however the numbers (ζan − 1)/(ζn − 1) for (a, n) = 1, and ±ζan generate the group of cyclotomic units in this case (n power of a prime). The cyclotomic units form a subgroup of finite index in the group of units of a cyclotomic field.. }
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- Cyclotomic_unit comment "In mathematics, a cyclotomic unit (or circular unit) is a unit of an algebraic number field which is the product of numbers of the form (ζan − 1) for ζn an nth root of unity and 0 < a < n. Note that if n is the power of a prime ζan − 1 itself is not a unit; however the numbers (ζan − 1)/(ζn − 1) for (a, n) = 1, and ±ζan generate the group of cyclotomic units in this case (n power of a prime). The cyclotomic units form a subgroup of finite index in the group of units of a cyclotomic field.".