Partitions of groups

I. Protasov, S. Slobodianiuk
Kyiv University, Department Cybernetics; Kyiv University, Department Mechanics and Mathematics
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.
partitions of groups; large, thick, small, thin subsets of a group; filtration; submeasure
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