Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2013; 28(4): 649-667

Printed October 1, 2013

https://doi.org/10.4134/CKMS.2013.28.4.649

Copyright © The Korean Mathematical Society.

An explicit formula for the number of subgroups of a finite abelian $p$-group up to rank $3$

Ju-Mok Oh

Gangneung-Wonju National University

Abstract

In this paper we give an explicit formula for the total number of subgroups of a finite abelian $p$-group up to rank three.

Keywords: enumeration, subgroup, abelian $p$-group

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