Geodesic
On a conjecture of G. Hajós
Glasgow mathematical journal, Tome 15 (1974) no. 1, pp. 88-89

Voir la notice de l'article provenant de la source Cambridge University Press

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]. 
Sands, A. D. On a conjecture of G. Hajós. Glasgow mathematical journal, Tome 15 (1974) no. 1, pp. 88-89. doi: 10.1017/S0017089500002202
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[1] 1.de Bruijn, N. G., On the factorization of finite abelian groups, Indag. Math. 15 (1953), 370–377. Google Scholar | DOI

[2] 2.Fuchs, L., Abelian Groups (Budapest, 1958). Google Scholar

[3] 3.Hajós, G., Sur le problème de factorisation des groupes cycliques, Acta Math. Acad. Sci. Hungar. 1 (1950), 189–195. Google Scholar | DOI

[4] 4.Irwin, J. M. and Walker, E. A., Topics in Abelian Groups (Glenview, Illinois, 1963). Google Scholar

[5] 5.Sands, A. D., On a problem of L. Fuchs, J. London Math. Soc. 37 (1962), 277–284. Google Scholar | DOI

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