Cyclotomic field

id: cyclotomic-field-261-8587081
title: Cyclotomic field
text: In number theory, a cyclotomic field is a number field obtained by adjoining a complex root of unity to Q, the field of rational numbers. Cyclotomic fields played a crucial role in the development of modern algebra and number theory because of their relation with Fermat's Last Theorem. It was in the process of his deep investigations of the arithmetic of these fields – and more precisely, because of the failure of unique factorization in their rings of integers – that Ernst Kummer first introduc
brand slug: wiki
category slug: encyclopedia
description: Field extension of the rational numbers by a primitive root of unity
original url: https://en.wikipedia.org/wiki/Cyclotomic_field
date created:
date modified: 2024-04-23T20:52:24Z
main entity: {"identifier":"Q1554628","url":"https://www.wikidata.org/entity/Q1554628"}
image:
fields total: 13
integrity: 14

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