# cyclotomic extension

###### Definition.

Let $K$ be a field and let $\overline{K}$ be a fixed algebraic closure of $K$. A cyclotomic extension of $K$ is an extension field of the form $K(\zeta)$ where $\zeta\in\overline{K}$ is a root of unity.

Title cyclotomic extension CyclotomicExtension 2013-03-22 15:05:17 2013-03-22 15:05:17 alozano (2414) alozano (2414) 4 alozano (2414) Definition msc 11-00 msc 11R18 KroneckerWeberTheorem CyclotomicField