Cyclic group actions on polynomial rings

DOI10.1112/blms/bdl023zbMath1134.13004OpenAlexW2094550044MaRDI QIDQ5297598

Peter Symonds

Publication date: 12 July 2007

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/bdl023

zbMATH Keywords

polynomial ringscyclic groupsymmetric algebra

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (9)

Symmetric powers and modular invariants of elementary abelian \(p\)-groups ⋮ Exterior and symmetric powers of modules for cyclic 2-groups. ⋮ Periodicity of Adams operations on the Green ring of a finite group ⋮ Unnamed Item ⋮ The invariants of modular indecomposable representations of \({\mathbb Z}_{p^2}\) ⋮ On generators of the Hilbert ideal for cyclic groups in modular invariant theory ⋮ Adams operations on the Green ring of a cyclic group of prime-power order ⋮ The module structure of a group action on a polynomial ring: A finiteness theorem ⋮ Decomposition of exterior and symmetric squares in characteristic two

Uses Software

• Magma

Cites Work

• Unnamed Item
• The Magma algebra system. I: The user language
• The modular representation algebra of a finite group
• Symmetric powers of modular representations, hilbert series and degree bounds
• The Modular Representation Ring of a Cyclic p -Group

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