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On Weighted Sequence Sums

Published online by Cambridge University Press:  12 September 2008

Yahya Ould Hamidoune
Yahya Ould Hamidoune
Affiliation:
E.R. 175 du CNRS “Combinatoire” UFR 921, Université P. et M. Curie, 4 Place Jussieu, 75230 Paris, France
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Abstract

The main result of this paper has the following consequence. Let G be an abelian group of order n. Let {xi: 1 ≤ 2n − 1} be a family of elements of G and let {wi: 1 ≤ i ≤ n − 1} be a family of integers prime relative to n. Then there is a permutation & of [1,2n − 1] such that

Applying this result with wi = 1 for all i, one obtains the Erdős–Ginzburg–Ziv Theorem.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 4 , Issue 4 , December 1995 , pp. 363 - 367
Copyright
Copyright © Cambridge University Press 1995

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References

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