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G. Hajos, “Uber Einfache und Mehrfaache Bedekung des n-Dimensionales Raumes Mit Einem Wurfelgitter,” Mathematics Zeitschrift, Vol. 47, No. 1, 1942, pp. 427-467. doi:10.1007/BF01180974

has been cited by the following article:

• TITLE: An Application of Cyclotomic Polynomial to Factorization of Abelian Groups

  AUTHORS: Khalid Amin

  KEYWORDS: Factorizaaton of Finite Abelian Groups, Hajos Property

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.1 No.3, October 17, 2011

  ABSTRACT: If a finite abelian group G is a direct product of its subsets such that G = A1···Ai···An, G is said to have the Hajos-n-proprty if it follows that one of these subsets, say Ai is periodic, meaning that there exists a nonidentity element g in G such that gAi = Ai . Using some properties of cyclotomic polynomials, we will show that the cyclic groups of orders pα and groups of type (p2,q2) and (pα,pβ) where p and q are distinct primes and α, β integers ≥ 1 have this property.