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- W3104007346 abstract "For a finite group $G$ acting faithfully on a finite dimensional $F$-vector space $V$, we show that in the modular case, the top degree of the vector coinvariants grows unboundedly: $lim_{mtoinfty} topdeg F[V^{m}]_{G}=infty$. In contrast, in the non-modular case we identify a situation where the top degree of the vector coinvariants remains constant. Furthermore, we present a more elementary proof of Steinberg's theorem which says that the group order is a lower bound for the dimension of the coinvariants which is sharp if and only if the invariant ring is polynomial." @default.
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- W3104007346 date "2013-07-24" @default.
- W3104007346 modified "2023-10-18" @default.
- W3104007346 title "On The Top Degree of Coinvariants" @default.
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- W3104007346 doi "https://doi.org/10.1093/imrn/rnt158" @default.
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