Densities, submeasures and partitions of groups

In 1995 in Kourovka notebook the second author asked the following problem:  is it true that for each partition \(G=A_1\cup\dots\cup A_n\) of a group \(G\) there is a cell \(A_i\) of the partition such that \(G=FA_iA_i^{-1}\) for some set \(F\subset G\) of cardinality \(|F|\le n\)?  In this paper we...

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Datum:2018
Hauptverfasser: Banakh, Taras, Protasov, Igor, Slobodianiuk, Sergiy
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/1031
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics