Bauerian extension

id: bauerian-extension-286-16834678
title: Bauerian extension
text: In mathematics, in the field of algebraic number theory, a Bauerian extension is a field extension of an algebraic number field which is characterized by the prime ideals with inertial degree one in the extension. For a finite degree extension L/K of an algebraic number field K we define P(L/K) to be the set of primes p of K which have a factor P with inertial degree one (that is, the residue field of P has the same order as the residue field of p). Bauer's theorem states that if M/K is a finite
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category slug: encyclopedia
description: Field extension of algebraic number field characterized by prime ideals of inertial deg 1
original url: https://en.wikipedia.org/wiki/Bauerian_extension
date created:
date modified: 2020-06-09T12:20:54Z
main entity: {"identifier":"Q4873468","url":"https://www.wikidata.org/entity/Q4873468"}
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