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.
Reiher,On Kemnitz’s conjecture concerning lattice points in the plane, Ramanujan J.,13(2007), 333-337
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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.