The module structure of a group action on a polynomial ring

DOI10.1006/jabr.1999.7867zbMath0940.20008OpenAlexW1991574137MaRDI QIDQ1306909

Peter Symonds, Karagueuzian, Dikran B.

Publication date: 20 December 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.7867

zbMATH Keywords

finite groupsfinitely generated modulesindecomposable modulesmodular representationssymmetric powersprojective summands

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Actions of groups on commutative rings; invariant theory (13A50) Representations of finite groups of Lie type (20C33)

Related Items

Structure theorems over polynomial rings ⋮ Galois structure of homogeneous coordinate rings ⋮ The module structure of a group action on a polynomial ring: A finiteness theorem ⋮ The cohomology of the Sylow 2-subgroup of the Higman-Sims group ⋮ On the module structure of a group action on a Lie algebra

Uses Software

• Magma

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