Two-dimensional vector invariant rings of Abelian \(p\)-groups.

DOI10.1016/S0021-8693(03)00351-XzbMath1058.13004MaRDI QIDQ1403886

Jian-Jun Chuai

Publication date: 20 August 2003

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

zbMATH Keywords

ring of invariantscharacteristic \(p\)complete intersectionCohen-Macaulaynessrepresentation of a \(p\)-group

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Linkage, complete intersections and determinantal ideals (13C40) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (2)

Invariants of modular groups ⋮ A new degree bound for invariant rings

Cites Work

• Unnamed Item
• Unnamed Item
• On vector invariants over finite fields
• Regular rings of invariants of unipotent groups
• Rings of invariants of certain \(p\)-groups over the field \(\mathbb{F}_p\)
• On the Cohen-Macaulay property of modular invariant rings
• The transfer in modular invariant theory
• Computing modular invariants of \(p\)-groups.
• Modular representations of abelian groups with regular rings of invariants
• Non Cohen-Macaulay Vector Invariants and a Noether Bound for a Gorenstein Ring of Invariants
• Loci in quotients by finite groups, pointwise stabilizers and the Buchsbaum property
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci

This page was built for publication: Two-dimensional vector invariant rings of Abelian \(p\)-groups.