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Abstract
Two results on factorization of finite abelian groups are proved using combinatorial character free arguments. The first one is a weaker form of Rédei's theorem and presented only to motivate the method. The second one is an extension of Rédei's theorem for elementary 2-groups, which was originally proved by means of characters.
Keywords.: Factorization of finite abelian groups; normalized subset; normalized factorization; Rédei's theorem
Received: 2009-06-27
Accepted: 2009-09-18
Published Online: 2010-01-26
Published in Print: 2009-December
© de Gruyter 2009