Partitions of groups into sparse subsets

A subset \(A\) of a group \(G\) is called sparse if, for every infinite subset \(X\) of \(G\), there exists a finite subset \(F\subset X\), such that \(\bigcap_{x\in F} xA\) is finite. We denote by \(\eta(G)\) the minimal cardinal such that \(G\) can be partitioned in \(\eta(G)\) sparse subsets. If...

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Bibliographische Detailangaben
Datum:2018
1. Verfasser: Protasov, Igor
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2018
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/695
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Назва журналу:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics