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- W2209376044 abstract "Let G⊆SL(2,F) be a finite group, V=F2 the natural SL(2,F)-module, and charF=p>0. Let S(V) be the symmetric algebra of V and S(V)G the ring of G-invariants. We provide examples of groups G, where S(V)G is Cohen–Macaulay, but is not Gorenstein. This refutes a natural conjecture due to Kemper, Körding, Malle, Matzat, Vogel and Wiese. Let T(G) denote the subgroup generated by all transvections of G. We show that S(V)G is Gorenstein if and only if one of the following cases holds: T(G)={1G}, V is an irreducible T(G)-module, V is a reducible T(G)-module and |G| divides |T(G)|(|T(G)|−1)." @default.
- W2209376044 created "2016-06-24" @default.
- W2209376044 creator A5011853218 @default.
- W2209376044 date "2016-04-01" @default.
- W2209376044 modified "2023-09-27" @default.
- W2209376044 title "The Gorenstein property for modular binary forms invariants" @default.
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- W2209376044 doi "https://doi.org/10.1016/j.jalgebra.2015.11.039" @default.
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