Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 46, No. 1, pp. 119-123 (2005)
Hajós' theorem and the partition lemma
Sándor SzabóDepartment of Mathematics, University of Bahrain, P. O. Box 32038, State of Bahrain
Abstract: If a finite abelian group is a direct product of cyclic subsets, then at least one of the factors must be a subgroup. This result is due to G. Hajós. The purpose of this paper is to show that Hajós' theorem can be proved using the so-called partition lemma.
Keywords: factorization of finite abelian groups, Hajós-Rédei theory
Classification (MSC2000): 20K01 52C22; 52C22
Full text of the article:
Electronic version published on: 11 Mar 2005. This page was last modified: 4 May 2006.