On the Constructions of the Non-Abelianp3-Extensions Over ℚ

DOI10.1080/00927872.2010.488679zbMath1247.12009OpenAlexW1997768618MaRDI QIDQ3092954

Oz Ben-Shimol

Publication date: 12 October 2011

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2010.488679

zbMATH Keywords

Heisenberg groupminimal ramificationconstructive Galois theoryexplicit embedding problem

Mathematics Subject Classification ID

Inverse Galois theory (12F12) Cyclotomic extensions (11R18)

Cites Work

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• On the minimal number of ramified primes in some solvable extensions of \(\mathbb Q\).
• Galois averages
• Separable algebras over commutative rings
• Generic and explicit realization of small \(p\)-groups

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