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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Date: | 2018 |
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Main Authors: | Banakh, Taras, Protasov, Igor, Slobodianiuk, Sergiy |
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/1031 |
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Journal Title: | Algebra and Discrete Mathematics |
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