Publications de l’Institut Mathématique, Nouvelle Série Vol. 101[115], pp. 121–133 (2017) 

ON THE NUMBER OF SUBGROUPS OF A GIVEN EXPONENT IN A FINITE ABELIAN GROUPMarius Tărnăuceanu, László TóthFaculty of Mathematics, “Al. I. Cuza” University, Iaşi, Romania; Department of Mathematics, University of Pécs, Pécs, HungaryAbstract: We deal with the number of subgroups of a given exponent in a finite abelian group. Explicit formulas are obtained in the case of rank two and rank three abelian groups. An asymptotic formula is also presented. Keywords: finite Abelian group; subgroup; exponent Classification (MSC2000): 20K01; 20K27;11N37 Full text of the article: (for faster download, first choose a mirror)
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