A solution to a problem of Cameron on sum-free complete sets (Q1805059)
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scientific article; zbMATH DE number 753620
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A solution to a problem of Cameron on sum-free complete sets |
scientific article; zbMATH DE number 753620 |
Statements
A solution to a problem of Cameron on sum-free complete sets (English)
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11 May 1995
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It is shown that for every sufficiently large \(m\) there is a set \(A\subset \mathbb{Z}/ m\mathbb{Z}\) such that \(\mathbb{Z}/ m\mathbb{Z}\) is the disjoint union of \(A\) and \(A+A\), and \(A\) is not symmetric. Such sets can be applied to construct sets for which \(| A+A |>| A-A|\).
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sumsets
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sumfree sets
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combinatorial number theory
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