An addition theorem for the elementary abelian group of type (p,p) (Q1078603)
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scientific article; zbMATH DE number 3961748
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An addition theorem for the elementary abelian group of type (p,p) |
scientific article; zbMATH DE number 3961748 |
Statements
An addition theorem for the elementary abelian group of type (p,p) (English)
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1986
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The authors prove that every element in the abelian group \({\mathbb{Z}}_ p\times {\mathbb{Z}}_ p\) can be written as a sum over a subset of a set A, where A is any set of nonzero elements of \({\mathbb{Z}}_ p\times {\mathbb{Z}}_ p\) with \(| A| =2p-2\).
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Cauchy-Davenport theorem
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Vosper theorem
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additive group theory
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sums of sets of elements of a group
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