Hilbert–Speiser theorem
id:
hilbert-speiser-theorem-266-943039
title:
Hilbert–Speiser theorem
text:
In mathematics, the Hilbert–Speiser theorem is a result on cyclotomic fields, characterising those with a normal integral basis. More generally, it applies to any finite abelian extension of Q, which by the Kronecker–Weber theorem are isomorphic to subfields of cyclotomic fields. This is the condition that it should be a subfield of Q(ζn) where n is a squarefree odd number. This result was introduced by Hilbert (1897, Satz 132, 1998, theorem 132) in his Zahlbericht and by Speiser (1916, corollar
brand slug:
wiki
category slug:
encyclopedia
description:
Result on cyclotomic fields, characterising those with a normal integral basis
original url:
https://en.wikipedia.org/wiki/Hilbert%E2%80%93Speiser_theorem
date created:
date modified:
2022-01-03T18:08:52Z
main entity:
{"identifier":"Q3527093","url":"https://www.wikidata.org/entity/Q3527093"}
image:
fields total:
13
integrity:
14