Covering a semi-direct product and intersective polynomials

DOI10.1007/S00229-015-0811-1zbMath1357.11114OpenAlexW2297468513MaRDI QIDQ309283

Qiduan Yang, Blair K. Spearman, Paul D. Lee

Publication date: 7 September 2016

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-015-0811-1

zbMATH Keywords

Galois group3-coverintersective polynomials

Mathematics Subject Classification ID

Galois theory (11R32) Algebraic number theory computations (11Y40) Polynomials (irreducibility, etc.) (11R09)

Cites Work

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• Normal coverings of finite symmetric and alternating groups.
• The Galois group of a radical extension of the rationals
• Intersective polynomials and the polynomial Szemerédi theorem
• Two remarks on the inverse Galois problem for intersective polynomials
• Normal coverings and pairwise generation of finite alternating and symmetric groups.
• Diophantine approximation of polynomials over 𝔽q[t satisfying a divisibility condition]
• Polynomial multiple recurrence over rings of integers
• Intersective Polynomials and Diophantine Approximation
• A Note on Büchi's Problem for p-adic numbers
• Polynomials with roots in ℚ_{𝕡} for all 𝕡
• A Parametric Family of Intersective Polynomials with Galois GroupA₄
• Problems and Results on Intersective Sets
• On Galois Realizations of the 2-Coverable Symmetric and Alternating Groups
• Conjectures on the normal covering number of the finite symmetric and alternating groups
• Galois theory

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