On zero free sets

Abstract:

Let G be a finite abelian group and let ZFSs(G) and μs(G) be respectively, the set of zero free sets and the set of minimal zero sets of G. The Olson constant, O(G), is 1 + max{|S| : S ∈ ZFSs(G)} and the strong Davenport constant, SD(G), is max{|S| : S ∈ μs(G)}. We show that there exists a very large class of groups G for which SD(G) = O(G). Then we give new values of SD(G).

Año de publicación:

2006

Keywords:

• Davenport constant
• Strong davenport constant
• Zero sets
• Minimal zero sets
• Olson constant

Fuente:

scopus

google