Factoring finite Abelian groups. (Q1883026)
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scientific article; zbMATH DE number 2105383
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Factoring finite Abelian groups. |
scientific article; zbMATH DE number 2105383 |
Statements
Factoring finite Abelian groups. (English)
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1 October 2004
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Let \(S+T\) denote the Minkowski sum of the sets \(S\) and \(T\). Let \(G\) be a finite cyclic group with a factorization \(G=S_1\oplus S_2\oplus\cdots\oplus S_k\), where \(|S_i|\) is a prime or a product of two primes for all \(i\). The author shows that there is \(i\) such that \(S_i\) is periodic.
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group factorizations
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finite Abelian groups
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periodic factors
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finite cyclic groups
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