Noether's problem for cyclic groups of prime order

DOI10.1007/s00013-017-1123-3zbMath1430.12005OpenAlexW2770686869MaRDI QIDQ679720

Ming-chang Kang

Publication date: 19 January 2018

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-017-1123-3

zbMATH Keywords

Noether's problemrationality problemunramified primes

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Actions of groups on commutative rings; invariant theory (13A50) Cyclotomic extensions (11R18) Rationality questions in algebraic geometry (14E08)

Related Items (2)

Noether's problem for some semidirect products ⋮ Chow's theorem for semi-abelian varieties and bounds for splitting fields of algebraic tori

Cites Work

• Retract rational fields and cyclic Galois extensions
• Rational functions invariant under a finite Abelian group
• Invariants of finite Abelian groups
• On Noether’s rationality problem for cyclic groups over $\mathbb {Q}$
• On a classification of the function fields of algebraic tori
• La $R$-équivalence sur les tores
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