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On a conjecture of G. Hajós

Published online by Cambridge University Press:  18 May 2009

A. D. Sands
A. D. Sands
Affiliation:
University of Dundee
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The purpose of this note is to provide by means of an example a negative answer to a conjecture of Hajós [3] concerning the factorization of finite abelian groups. This question is also raised as Problem 81 in Fuchs [2].

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 15 , Issue 1 , March 1974 , pp. 88 - 89
Copyright
Copyright © Glasgow Mathematical Journal Trust 1974

References

REFERENCES

1.de Bruijn, N. G., On the factorization of finite abelian groups, Indag. Math. 15 (1953), 370–377.CrossRefGoogle Scholar
2.Fuchs, L., Abelian Groups (Budapest, 1958).Google Scholar
3.Hajós, G., Sur le problème de factorisation des groupes cycliques, Acta Math. Acad. Sci. Hungar. 1 (1950), 189–195.CrossRefGoogle Scholar
4.Irwin, J. M. and Walker, E. A., Topics in Abelian Groups (Glenview, Illinois, 1963).Google Scholar
5.Sands, A. D., On a problem of L. Fuchs, J. London Math. Soc. 37 (1962), 277–284.CrossRefGoogle Scholar