On wild ramification in quaternion extensions

DOI10.5802/JTNB.576zbMath1123.11037arXivmath/0511176OpenAlexW2124561653MaRDI QIDQ2642758

Jeffrey J. Hooper, Gove Griffith Elder

Publication date: 4 September 2007

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

Full work available at URL: https://arxiv.org/abs/math/0511176

zbMATH Keywords

biquadratic extensionsquaternion extensionsramification jumps

Mathematics Subject Classification ID

Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (1)

On the necessity of new ramification breaks

Cites Work

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• Galois module structure of ideals in wildly ramified cyclic extensions of degree \(p^ 2\)
• New ramification breaks and additive Galois structure
• Biquadratic Extensions with One Break
• Galois Module Structure of Ambiguous Ideals in Biquadratic Extensions
• Wildly Ramified Gamma Extensions
• Groupes de ramification et représentations d'Artin
• Number theory. Transl. from the 3rd German edition, edited and with a preface by Horst Günter Zimmer.

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