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  • The covering number of the difference sets in partitions of ▫$G$▫-spaces and groups
    Banakh, Taras, 1968- ; Frączyk, Mikolaj
    We prove that for every finite partition ▫$G = A_1 \cup \cdots \cup A_n$▫ of a group ▫$G$▫ there are a cell ▫$A_i$▫ of the partition and a subset▫ $F \subset G$▫ of cardinality ▫$|F| \leqslant n$▫ ... such that ▫$G = FA_iA_i^{-1}A_i$▫. A similar result is proved also for partitions of ▫$G$▫-spaces. This gives two partial answers to a problem of Protasov posed in 1995.
    Vir: European journal of mathematics. - ISSN 2199-675X (Vol. 1, iss. 4, 2015, str. 762-772)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2015
    Jezik - angleški
    COBISS.SI-ID - 17607257

    Povezava(-e):

    http://dx.doi.org/10.1007/s40879-015-0077-x

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