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 NOETHER NUMBERS FOR SUBREPRESENTATIONS OF CYCLIC GROUPS OF PRIME ORDER
 摘  要: Let W be a finite-dimensional �/p-module over a field, k, of characteristic p. The maximum degree of an indecomposable element of the algebra of invariants, k[W] �/p, is called the Noether number of the representation, and is denoted by β(W). A lower bound for β(W) is derived, and it is shown that if U is a �/p submodule of W, then β(U) � β(W). A set of generators, in fact a SAGBI basis, is constructed for k[V2 ⊕ V3] �/p, where Vn is the indecomposable �/p-module of dimension n. 1.
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 共享有2个版本 http://blms.oxfordjournals.org/cgi/doi/10.1112/S0024609302001054 http://www.mast.queensu.ca/~wehlau/published_versions/noether_numbers.pdf
 Bibtex @article{2401570, author = {R. JAMES SHANK and DAVID L. WEHLAU}, title = {{NOETHER NUMBERS FOR SUBREPRESENTATIONS OF CYCLIC GROUPS OF PRIME ORDER}}, journal = {Bulletin of The London Mathematical Society}, volume = {34}, year = {2002}, pages = {438--450}, issue = {4}, doi = {10.1112/S0024609302001054} }

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