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

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ON THE NUMBER OF SUBGROUPS OF A GIVEN EXPONENT IN A FINITE ABELIAN GROUP

Marius Tărnăuceanu, László Tóth

Faculty of Mathematics, “Al. I. Cuza” University, Iaşi, Romania; Department of Mathematics, University of Pécs, Pécs, Hungary

Abstract: 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

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Electronic fulltext finalized on: 24 Apr 2017. This page was last modified: 11 May 2017.

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