Unramified Kummer extensions of prime power degree

DOI10.1007/BF01165823zbMath0705.13004OpenAlexW2078062135MaRDI QIDQ917611

Cornelius Greither

Publication date: 1989

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155410

zbMATH Keywords

Harrison groupcyclic Galois group

Mathematics Subject Classification ID

Galois theory (11S20) Local rings and semilocal rings (13H99) Complete rings, completion (13J10) Galois theory and commutative ring extensions (13B05)

Related Items (3)

Ramification of the Kummer extension generated from torsion points of elliptic curves ⋮ On the square root of the inverse different ⋮ On \(\mathbb{Z}_p\)-extensions of commutative rings

Cites Work

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• A unified Kummer-Artin-Schreier sequence
• Torsors under Abelian p-groups
• Patching theorems for projective modules
• Kummer extensions of rings
• Abelsche Galoiserweiterungen von R[X]
• Die Multiplikationsgruppe der abelschen Körper mit fester Galoisgruppe
• The Group of Unramified Kummer Extensions of Prime Degree
• Two Fundamental Theorems on Deformations of Polarized Varieties

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