The paper determines the separating Noether number sepbeta(G) exactly for finite abelian groups of rank 4 and solves the inverse problem for rank 2 while studying monoid properties and minimal sizes of monomial separating sets.
Mazur,A note on the growth of Davenport’s constant, Manuscripta Mathematica,74(1992), 229-235
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On separating sets of polynomial invariants of finite abelian group actions
The paper determines the separating Noether number sepbeta(G) exactly for finite abelian groups of rank 4 and solves the inverse problem for rank 2 while studying monoid properties and minimal sizes of monomial separating sets.