Multiplicative groups of fields and hereditarily irreducible polynomials

DOI10.1016/j.jnt.2016.04.020zbMath1427.12002arXiv1601.03424OpenAlexW2962676913MaRDI QIDQ301460

Ramin Takloo-Bighash, Alice Medvedev

Publication date: 30 June 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.03424

zbMATH Keywords

irreducible polynomialsmultiplicative groups of fields

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Algebraic field extensions (12F05) Polynomials in general fields (irreducibility, etc.) (12E05) Model theory of fields (12L12) Field arithmetic (12E30)

Cites Work

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• On difference polynomials and hereditarily irreducible polynomials
• Fields with free multiplicative groups modulo torsion
• A generalization of Ehrenfeucht's irreducibility criterion
• Multiplicative Groups Under Field Extension
• Multiplicative Groups of Fields

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