Rédei's theorem with a factor of order four

Sándor SZABÓ

doi:10.14492/hokmj/1248190078

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Home > Journals > Hokkaido Math. J. > Volume 38 > Issue 2 > Article

May 2009 Rédei's theorem with a factor of order four

Sándor SZABÓ

Hokkaido Math. J. 38(2): 267-281 (May 2009). DOI: 10.14492/hokmj/1248190078

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Abstract

We will prove that if a finite abelian group is a direct product of its subsets such that one subset has four elements and the others have prime cardinalities, then at least one of the factors must be periodic.