cyclotomic extension


Let K be a field and let K¯ be a fixed algebraic closureMathworldPlanetmath of K. A cyclotomic extension of K is an extension fieldMathworldPlanetmath of the form K(ζ) where ζK¯ is a root of unityMathworldPlanetmath.

Title cyclotomic extension
Canonical name CyclotomicExtension
Date of creation 2013-03-22 15:05:17
Last modified on 2013-03-22 15:05:17
Owner alozano (2414)
Last modified by alozano (2414)
Numerical id 4
Author alozano (2414)
Entry type Definition
Classification msc 11-00
Classification msc 11R18
Related topic KroneckerWeberTheorem
Related topic CyclotomicField