A GENERALIZATION OF HAJOS’ THEOREM

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International Electronic Journal of Algebra
Volume:3 Issue:3
A GENERALIZATION OF HAJOS’ THEOREM

A GENERALIZATION OF HAJOS’ THEOREM

Authors : A D SANDS

Pages : 83-95

View : 19 | Download : 11

Publication Date : 2008-06-01

Article Type : Research Paper

Abstract :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.
Keywords : factorization, abelian group, cyclic subset

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