The rank of syzygies under the action by a finite group

DOI10.1017/S0027763000021590zbMath0417.13004MaRDI QIDQ3207084

Shiro Goto

Publication date: 1978

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Gorenstein ringminimal free resolutionnormal basistwisted group ringsinvariant elementsautomorphism group of noetherian local ringChevalley-Serre theoremMacaulay ringrank of syzygies

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Resolutions; derived functors (category-theoretic aspects) (18G10) Morphisms of commutative rings (13B10)

Related Items

The type of the invariants of a finite pseudo-reflection group acting on a local Cohen-Macaulay ring ⋮ Pseudo-reflection group actions on local rings

Cites Work

• Invariants of Finite Groups Generated by Reflections