Coarse selectors of groups

• Date: 2023
• Main Author: Protasov, I.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2023
• Subjects: finitary coarse structure; Cayley graph; selector; 20F69; 54C65
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2127
• Journal Title: Algebra and Discrete Mathematics

For a group \(G\), \(\mathcal{F}_G\) denotes the set of all non-empty finite subsets of \(G\). We extend the finitary coarse structure of \(G\) from \(G\times G\) to \(\mathcal{F}_G\times \mathcal{F}_G\) and say that a macro-uniform mapping \(f\colon \mathcal{F}_G \to \mathcal{F}_G\) (resp. \(f\colo...