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
Recommended Citation
Geroldinger, A., & Grynkiewicz, D. (2011). On the structure of minimal zero-sum sequences with maximal cross number. Frontiers of Combinatorics and Number Theory, 111-128. Retrieved from https://digitalcommons.memphis.edu/facpubs/5371
