About the Galois relation \(x_1=x_2+x_3\). Appendix by Joseph Oesterlé

DOI10.5802/jtnb.738zbMath1254.12007OpenAlexW2328237453MaRDI QIDQ719141

Franck Lalande

Publication date: 10 October 2011

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/116426

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Polynomials in general fields (irreducibility, etc.) (12E05)

Related Items (2)

Linear relations with conjugates of a Salem number ⋮ On the number of integer polynomials with multiplicatively dependent roots

Uses Software

• GAP

Cites Work

• Unnamed Item
• The linear relation \(a=b+c+\dots+t\) between the roots of a polynomial
• The Galois relation x₁=x₂+x₃and Fermat over finite fields
• The Galois relation x₁=x₂+x₃for finite simple groups
• Linear relations between roots of polynomials
• Polynomials with nontrivial relations between their roots
• Permutation representations and rational irreducibility

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