Geodesic
Free actions of groups of exponent~5
Algebra i logika, Tome 50 (2011) no. 5, pp. 685-688.

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that groups of exponent 5 actings freely on Abelian groups are cyclic.
Keywords: group of exponent 5, Abelian group, cyclic group. 
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     title = {Free actions of groups of exponent~5},
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E. Jabara. Free actions of groups of exponent~5. Algebra i logika, Tome 50 (2011) no. 5, pp. 685-688. http://geodesic.mathdoc.fr/item/AL_2011_50_5_a5/

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[2] E. Jabara, “Fixed point free actions of groups of exponent 5”, J. Aust. Math. Soc., 77:3 (2004), 297–304 | DOI | MR | Zbl