On the degree of the splitting field of an irreducible binomial

David Gay; William Yslas Vélez

doi:10.2140/pjm.1978.78.117

On the degree of the splitting field of an irreducible binomial

David Gay, William Yslas Vélez

Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

Let x^m-a be irreducible over a field F. We give a new proof of Darbi’s formula for the degree of the splitting field of x^m-a and investigate some of its properties. We give a more explicit formula in case the only roots of unity in F are ±1.

Original language	English (US)
Pages (from-to)	117-120
Number of pages	4
Journal	Pacific Journal of Mathematics
Volume	78
Issue number	1
DOIs	https://doi.org/10.2140/pjm.1978.78.117
State	Published - Sep 1978

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.2140/pjm.1978.78.117

Cite this

@article{b5128c4368e34d3799e5eb94840d145f,

title = "On the degree of the splitting field of an irreducible binomial",

abstract = "Let xm-a be irreducible over a field F. We give a new proof of Darbi{\textquoteright}s formula for the degree of the splitting field of xm-a and investigate some of its properties. We give a more explicit formula in case the only roots of unity in F are ±1.",

author = "David Gay and V{\'e}lez, {William Yslas}",

year = "1978",

month = sep,

doi = "10.2140/pjm.1978.78.117",

language = "English (US)",

volume = "78",

pages = "117--120",

journal = "Pacific Journal of Mathematics",

issn = "0030-8730",

publisher = "University of California, Berkeley",

number = "1",

}

TY - JOUR

T1 - On the degree of the splitting field of an irreducible binomial

AU - Gay, David

AU - Vélez, William Yslas

PY - 1978/9

Y1 - 1978/9

N2 - Let xm-a be irreducible over a field F. We give a new proof of Darbi’s formula for the degree of the splitting field of xm-a and investigate some of its properties. We give a more explicit formula in case the only roots of unity in F are ±1.

AB - Let xm-a be irreducible over a field F. We give a new proof of Darbi’s formula for the degree of the splitting field of xm-a and investigate some of its properties. We give a more explicit formula in case the only roots of unity in F are ±1.

UR - http://www.scopus.com/inward/record.url?scp=84972511822&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84972511822&partnerID=8YFLogxK

U2 - 10.2140/pjm.1978.78.117

DO - 10.2140/pjm.1978.78.117

M3 - Article

AN - SCOPUS:84972511822

VL - 78

SP - 117

EP - 120

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

SN - 0030-8730

IS - 1

ER -

On the degree of the splitting field of an irreducible binomial

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this