Fixed fields of triangular matrix groups

DOI10.1016/j.jalgebra.2006.03.037zbMath1104.13002OpenAlexW2071099470MaRDI QIDQ855746

Ming-chang Kang

Publication date: 7 December 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.03.037

zbMATH Keywords

Noether's problempolynomial invariantsrationality problemtriangular matrix groups

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50)

Related Items (8)

The invariants of the second symmetric power representation of \(\mathrm{SL}_2 (\mathbb F_q)\) ⋮ Rings of invariants for modular representations of elementary abelian \(p\)-groups ⋮ Galois ring extensions and localized modular rings of invariants of \(p\)-groups ⋮ On invariant fields of vectors and covectors ⋮ Computation of invariants of finite abelian groups ⋮ Rings of invariants for modular representations of the Klein four group ⋮ The Invariant Fields of the Sylow Groups of Classical Groups in the Natural Characteristic ⋮ Vector invariant fields of finite classical groups

Cites Work

• Finite group actions on rational function fields
• Invariant theory
• Rationality of some projective linear actions
• On the Fixed Field of a Linear Abelian Group
• Invariants of Certain Groups I

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