[KSCI] Korea Science Citation Index Service

Oh, Ju-Mok (Department of Mathematics Gangneung-Wonju National University)

Publication Information

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;

Citations & Related Records

1	G. Calugareanu, The total number of subgroups of a finite abelian group, Sci. Math. Jpn. 60 (2004), no. 1, 157-167.
2	I. J. Davies, Enumeration of certain subgroups of abelian p-groups, Proc. Edinburgh Math. Soc. 13 (1962), no. 2, 1-4. DOI
3	S. Delsarte, Fonctions de Mobius sur les groupes abeliens finis, Ann. of Math. 49 (1948), no. 2, 600-609. DOI
4	P. Dyubyuk, On the number of subgroups of a finite abelian group, Soviet Math. 2 (1961), 298-300.
5	J. Petrillo, Counting subgroups in a direct product of finite cyclic groups, College Math. J. 42 (2011), no. 3, 215-222. DOI ScienceOn
6	Y. Yeh, On prime power abelian groups, Bull. Amer. Math. Soc. 54 (1948), 323-327. DOI