A GENERALIZATION OF HAJOS’ THEOREM

Yıl 2008, Cilt: 3 Sayı: 3, 83 - 95, 01.06.2008

A. D. Sands

Öz

Haj´os’ Theorem states that if a finite abelian group is expressed as a direct product of cyclic subsets, then one of these subsets must be a subgroup. Here factorizations are considered in which one of the factors is not assumed to be cyclic but has certain restrictions on its order placed upon it.

Anahtar Kelimeler

factorization, abelian group, cyclic subset

Kaynakça

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• Department of Mathematics Dundee University
• Dundee DD1 4HN Scotland
• E-mail: [e-mail]