Groups containing locally maximal product-free sets of size 4
Every locally maximal product-free set \(S\) in a finite group \(G\) satisfies \(G=S\cup SS \cup S^{-1}S \cup SS^{-1}\cup \sqrt{S}\), where \(SS=\{xy\mid x,y\in S\}\), \(S^{-1}S=\{x^{-1}y\mid x,y\in S\}\), \(SS^{-1}=\{xy^{-1}\mid x,y\in S\}\) and \(\sqrt{S}=\{x\in G\mid x^2\in S\}\). To better under...
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| Date: | 2021 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2021
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1347 |
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| Journal Title: | Algebra and Discrete Mathematics |