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Zero Sums in Abelian Groups

Published online by Cambridge University Press:  01 September 1998

W. D. GAO  and
Y. O. HAMIDOUNE
W. D. GAO
Affiliation:
Department of Information Engineering, Beijing University of Posts and Telecommunications, Beijing 100088, China (e-mail: wdgao@mail.bjpeu.edu.cn)
Y. O. HAMIDOUNE
Affiliation:
E. Combinatoire, Case 189, Université Pierre et Marie Curie, 4 Place Jussieu, 75230 Paris Cedex 05, France (e-mail: yha@ccr.jussieu.fr)
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Abstract

Let k be a positive integer and G a finite abelian group of order n, where n[ges ]k2−4k+8. Then every sequence of 2n−¼k2+k−2 elements in G assuming k distinct values has an n-subsequence with sum zero. This settles a conjecture of Bialostocki and Lotspeich.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 7 , Issue 3 , September 1998 , pp. 261 - 263
Copyright
1998 Cambridge University Press

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