Polynomials with a given cyclic Galois group

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F44555601%3A13440%2F15%3A43886792" target="_blank" >RIV/44555601:13440/15:43886792 - isvavai.cz</a>

Result on the web

<a href="http://www.emis.de/journals/AMAPN/vol31_2/31_18.pdf" target="_blank" >http://www.emis.de/journals/AMAPN/vol31_2/31_18.pdf</a>

DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Polynomials with a given cyclic Galois group

Original language description

For every natural number n such that 2n + 1 is a prime, we present an explicit monic irreducible n th degree polynomial with integer coefficients whose Galois group over the field of all rational numbers is isomorphic to the cyclic group Zn. The discriminant of the splitting field of the presented polynomial is equal to (2n + 1)nMINUS SIGN 1. .

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2015

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis

ISSN

1786-0091

e-ISSN

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Volume of the periodical

31

Issue of the periodical within the volume

2

Country of publishing house

HU - HUNGARY

Number of pages

7

Pages from-to

207-214

UT code for WoS article

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EID of the result in the Scopus database

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