INFINITE HILBERT CLASS FIELD TOWERS FROM GALOIS REPRESENTATIONS

DOI10.1142/S1793042111003879zbMath1227.11117arXiv1005.3003OpenAlexW2963106186MaRDI QIDQ3085101

Kirti Joshi, Cameron McLeman

Publication date: 28 March 2011

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

Full work available at URL: https://arxiv.org/abs/1005.3003

zbMATH Keywords

Galois representationElliptic curveModular formClass field tower

Mathematics Subject Classification ID

Galois representations (11F80) Class field theory (11R37)

Related Items (3)

Infinite Hilbert class field tower ⋮ Infinite class field towers of number fields of prime power discriminant ⋮ Asymptotic growth patterns for class field towers

Cites Work

• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• Galois properties of points of finite order of elliptic curves
• Formes modulaires de poids $1$
• Courbes elliptiques sur Q sans nombres premiers exceptionnels
• On the Surjectivity of the Galois Representations Associated to Non-CM Elliptic Curves
• On Class Field Towers and the Rank of Ideal Class Groups

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