Partitions of groups into thin subsets
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Partitions of groups into thin subsets
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| Creator |
Protasov, I.
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| Description |
Let G be an infinite group with the identity e, κ be an infinite cardinal ≤|G|. A subset A⊂G is called κ-thin if |gA∩A|≤κ for every g∈G∖{e}. We calculate the minimal cardinal μ(G,κ) such that G can be partitioned in μ(G,κ) κ-thin subsets. In particular, we show that the statement μ(R,ℵ₀)=ℵ₀ is equivalent to the Continuum Hypothesis.
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| Date |
2019-06-16T05:44:39Z
2019-06-16T05:44:39Z 2011 |
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| Type |
Article
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| Identifier |
Partitions of groups into thin subsets / I. Protasov // Algebra and Discrete Mathematics. — 2011. — Vol. 11, № 2. — С. 78–81. — Бібліогр.: 6 назв. — англ.
1726-3255 2000 Mathematics Subject Classification:03E75, 20F99, 20K99 http://dspace.nbuv.gov.ua/handle/123456789/154850 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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