Title

On the structure of minimal zero-sum sequences with maximal cross number

Abstract

Let G be an additive finite abelian group, S = g1 ·...·gl a sequence over G andk(S) = ord(g1)-1+...+ord(gl)-1 its cross number. Then the cross number K(G) ofG is defined as the maximal cross number of all minimal zero-sum sequences over G.In the spirit of inverse additive number theory, we study the structure of those minimalzero-sum sequences S over G whose cross number equals K(G). These questions aremotivated by applications in the theory of non-unique factorizations. © 2012 Nova Science Publishers, Inc. All rights reserved.

Publication Title

Frontiers of Combinatorics and Number Theory

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