On a combinatorial problem of Erdős, Ginzburg, and Ziv (Q1228616)
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scientific article; zbMATH DE number 3520422
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a combinatorial problem of Erdős, Ginzburg, and Ziv |
scientific article; zbMATH DE number 3520422 |
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On a combinatorial problem of Erdős, Ginzburg, and Ziv (English)
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1976
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The following theorem is proved. If \(g_1,\ldots,g_{2n-1}\) is a sequence of \(2n-1\) elements in a finite group of order \(n\) (written additively), then there are \(n\) distinct indices \(i_1,\ldots,i_n\) such that \(g_{i_1}+ \ldots + g_{i_n} = 0\). So far the theorem was known only for finite solvable groups.
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zero-sum subsequence
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