Document Type
Lecture
Publication Date
3-1-2016
Abstract
In 2003, Hamidoune made the following conjecture. Let G be a finite abelian group of order n, let S be a sequence of S n+1 terms from G with at least k distinct terms, and let n(S) denote those elements of G obtainable by summing a subselection of n terms from S. Then either 0 n(S) or n S G + k 1. This is a typical example from a family of similar conjectures made at the time. Since then, tools like the Devos-Goddyn-Mohar and Partition Theorem have allowed most of the conjectures from this family to be resolved by now standard techniques. However, the conjecture in question here is a rare exception. We talk about a generalization of this conjecture and how it can be proved using a combination of these techniques along with an older result of Eggleton and Erd˝ os. Reasearch is joint with Gao and Xia.
Relational Format
presentation
Recommended Citation
Grynkiewicz, David, "A Zero-Sum Conjecture of Hamidoune" (2016). Combinatorics Seminar. 28.
https://egrove.olemiss.edu/math_combinatorics/28
