The module structure of a group action on a polynomial ring: A finiteness theorem

DOI10.1090/S0894-0347-07-00563-2zbMath1138.13004OpenAlexW1984284889WikidataQ126226115 ScholiaQ126226115MaRDI QIDQ3594370

Peter Symonds, Karagueuzian, Dikran B.

Publication date: 7 August 2007

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

Full work available at URL: https://doi.org/10.1090/s0894-0347-07-00563-2

zbMATH Keywords

polynomial ringgroupfiniteness theoremmodule structure

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)

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Degree bounds -- an invitation to postmodern invariant theory ⋮ Group actions on rings and the Čech complex ⋮ On the Castelnuovo-Mumford regularity of rings of polynomial invariants ⋮ The second main theorem vector for the modular regular representation of \(C_2\) ⋮ Galois structure of homogeneous coordinate rings ⋮ A new degree bound for invariant rings ⋮ The Noether Map I ⋮ Classification of the linearly reductive finite subgroup schemes of \(\mathrm{SL}_2\) ⋮ Invariants of binary bilinear forms modulo two

Uses Software

• Magma

Cites Work

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