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math.NT2008
The critical number of finite abelian groups
Michael Freeze, Weidong Gao, Alfred Geroldinger
Let G be an additive, finite abelian group. The critical number of is the smallest positive integer such that for every subset $S \subset G \setminus \{…
math.NT2008
On Extending Pollard's Theorem for t-Representable Sums
David J. Grynkiewicz
Let , let and be finite, nonempty subsets of an abelian group , and let $A\pp{i} B$ denote all the elements with at least representations of the form $c…
math.NT2008
Inverse Zero-Sum Problems III
Weidong Gao, Alfred Geroldinger, David J. Grynkiewicz
Let be a finite abeilian group. A sequence with terms from is zero-sum if the sum of terms in equals zero. It is a minimal zero-sum sequence if no proper, nontrivia…