Factoring by subsets of cardinality of prime power (Q1314886)

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scientific article; zbMATH DE number 508804
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Factoring by subsets of cardinality of prime power
scientific article; zbMATH DE number 508804

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    Factoring by subsets of cardinality of prime power (English)
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    13 July 1995
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    A subset in a group is periodic if it is a direct product of some subset and a nontrivial subgroup. It is proved under certain restrictions that if a general finite abelian group is factored as a direct product of cyclic subsets of prime cardinalities and general subsets of cardinalities that are powers of primes then at least one of the factors is periodic.
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    periodic subsets
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    finite abelian group
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    direct product of cyclic subsets
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