Abelian extension
id:
abelian-extension-244-4135578
title:
Abelian extension
text:
In abstract algebra, an abelian extension is a Galois extension whose Galois group is abelian. When the Galois group is also cyclic, the extension is also called a cyclic extension. Going in the other direction, a Galois extension is called solvable if its Galois group is solvable, i.e., if the group can be decomposed into a series of normal extensions of an abelian group. Every finite extension of a finite field is a cyclic extension.
brand slug:
wiki
category slug:
encyclopedia
description:
Galois extension whose Galois group is abelian
original url:
https://en.wikipedia.org/wiki/Abelian_extension
date created:
date modified:
2023-05-16T11:36:16Z
main entity:
{"identifier":"Q318705","url":"https://www.wikidata.org/entity/Q318705"}
image:
fields total:
13
integrity:
14