Construction of unramified extensions with a prescribed Galois group

zbMath1335.12003MaRDI QIDQ902239

Kwang-Seob Kim

Publication date: 7 January 2016

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1447856031

zbMATH Keywords

Galois extensionsGalois groupfinite solvable groupinfinitely many abelian extensions

Mathematics Subject Classification ID

Galois theory (11R32) Inverse Galois theory (12F12) Class numbers, class groups, discriminants (11R29)

Related Items

Unramified extensions over low degree number fields ⋮ ON UNRAMIFIED SOLVABLE EXTENSIONS OF SMALL NUMBER FIELDS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the existence of unramified \(p\)-extensions with prescribed Galois group
• Minimal degree for a permutation representation of a classical group
• Algebraic number fields with the discriminant equal to that of a quadratic number field
• Construction of maximal unramified \(p\)-extensions with prescribed Galois groups
• On unramified Galois extensions of quadratic number fields
• On non‐ramified extensions with prescribed Galois group
• On unramified A_m-extensions of quadratic number fields
• A note on a homology sphere
• TRACES IN COMPLEX HYPERBOLIC GEOMETRY
• Endliche Gruppen I