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Prethick subsets in partitions of groups

A subset S of a group G is called thick if, for any finite subset F of G, there exists g ∈ G such that Fg ⊆ S, and k-prethick, k ∈ N if there exists a subset K of G such that |K| = k and KS is thick. For every finite partition P of G, at least one cell of P is k-prethick for some k ∈ N. We show that...

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Bibliographic Details
Main Authors: Protasov, I.V., Slobodianiuk, S.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2012
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/152243
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