cyclotomic units

Let L=(ζm) be a cyclotomic extension of with m chosen to be minimal. Then the ring of integersMathworldPlanetmath is given by (ζm), and we denote the group of units by 𝒪L×. The cyclotomic units are the elements of a subgroup C of 𝒪L× given by


with r and s relatively prime to m.

Title cyclotomic units
Canonical name CyclotomicUnits
Date of creation 2013-03-22 14:12:36
Last modified on 2013-03-22 14:12:36
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 5
Author mathcam (2727)
Entry type Definition
Classification msc 11R18