Reduction in the rationality problem for multiplicative invariant fields

DOI10.1006/jabr.2000.8652zbMath0995.12004OpenAlexW1997079184MaRDI QIDQ5936150

Nicole Marie Anne Lemire

Publication date: 22 October 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8652

zbMATH Keywords

automorphism groupcrystallographic root systemsfaithful \(\mathbb{Z} G\) latticemultiplicative invariant fieldrationalityreflection latticesreflections

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (1)

Symmetric functions and the phase problem in crystallography

Cites Work

• Multiplicative invariants
• Noether's problem over an algebraically closed field
• Multiplicative field invariants and the Brauer group
• Twisted multiplicative field invariants, Noether's problem, and Galois extensions
• Reflection groups and multiplicative invariants
• Multiplicative field invariants
• On the projective class group of finite groups
• Rationality problem for generic tori in simple groups.
• Invariant rational functions and a problem of Steenrod
• Invariants of finite Abelian groups
• BIRATIONAL PROPERTIES OF LINEAR ALGEBRAIC GROUPS
• Introduction to Lie Algebras and Representation Theory
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