A type of factorization of finite Abelian groups (Q2266771)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A type of factorization of finite Abelian groups |
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A type of factorization of finite Abelian groups (English)
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1985
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The additive Abelian group G is said to be factored by its subsets A and B if each g in G is uniquely expressible in the form \(g=a+b\), \(a\in A\), \(b\in B\). The following conjectures were suggested by K. Corrádi and A. D. Sands respectively: If the finite Abelian group G is factored by its subsets A and B with zero element, must one of the factors contain (be contained in) some proper subgroup of G? In this paper the author disproves the conjectures above.
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factored by subsets
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finite Abelian group
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