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Some examples of real quadratic fields with finite nonsolvable maximal unramified extensions

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Publication:273465
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DOI10.1016/j.jnt.2016.01.031zbMath1414.11153OpenAlexW2891175576MaRDI QIDQ273465

Kwang-Seob Kim

Publication date: 22 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.01.031

zbMATH Keywords

class number one problemsnonsolvable unramified extensions of number fields


Mathematics Subject Classification ID

Galois representations (11F80) Class field theory (11R37) Class numbers, class groups, discriminants (11R29)


Related Items

Some examples of quadratic fields with finite non-solvable maximal unramified extensions. II



Cites Work

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  • Maximal unramified extensions of imaginary quadratic number fields of small conductors. II
  • A construction of nonabelian simple étale fundamental groups
  • The Finite Simple Groups
  • Lower bounds for discriminants of number fields
  • Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results
  • Maximal unramified extensions of imaginary quadratic number fields of small conductors
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