Advances and Applications in Discrete Mathematics
Volume 15, Issue 1, Pages 33 - 60
(January 2015) http://dx.doi.org/10.17654/AADMJan2015_033_060 |
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PARTITIONS OF GROUPS
Igor Protasov and Sergii Slobodianiuk
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Abstract: We classify the subsets of a group by their sizes, formalize the basic methods of partitions and apply them to partition a group to subsets of prescribed sizes. |
Keywords and phrases: partitions of groups, large, thick, small, thin subsets of a group, filtration, submeasure. |
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