On the critical number of finite groups of order \(pq\) (Q2909034)
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scientific article; zbMATH DE number 6073801
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the critical number of finite groups of order \(pq\) |
scientific article; zbMATH DE number 6073801 |
Statements
29 August 2012
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additive basis
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critical number
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On the critical number of finite groups of order \(pq\) (English)
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Let \(G\) be a finite additively written group. By \(\text{cr}(G)\) denote the smallest integer \(t\) such that every subset \(S\in G\setminus\{0\}\) with \(|S|\geq t\) is an additive basis of \(G\), that is, any element of \(G\) is a sum of distinct elements of \(S\). The main result of the paper is the followingNEWLINENEWLINE Theorem. For any non-abelian group of order \(pq\geq 10\), where \(p,q\) are distinct primes one has \(\text{cr}(G)= p+ q-2\).
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