Partitions of groups into thin subsets
Let \(G\) be an infinite group with the identity \(e\), \(\kappa\) be an infinite cardinal \(\leqslant |G|\). A subset \(A\subset G\) is called \(\kappa\)-thin if \(|gA\cap A|\leqslant\kappa\) for every \(g\in G\setminus\{e\}\). We calculate the minimal cardinal \(\mu(G,\kappa)\) such that \(G\) can...
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| Date: | 2018 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1102 |
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| Journal Title: | Algebra and Discrete Mathematics |