논문KCI 등재
An explicit formula for the number of subgroups of a finite abelian p-group up to rank 3
대한수학회 (The Korean Mathematical Society)|2013.10|대한수학회논문집 (Communications of the KMS)|제28권 제4호|pp. 649-667
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In this paper we give an explicit formula for the total number of subgroups of a finite abelian p-group up to rank three.
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.
참고문헌 (6)
- G. C˘alug˘areanu, "The total number of subgroups of a finite abelian group", Sci. Math. Jpn, 60(1), pp.157~167 (2004)
- I. J. Davies, "Enumeration of certain subgroups of abelian p-groups", Proc. Edinburgh Math. Soc, 13(2), pp.1~4 (1962)
- S. Delsarte, "Fonctions de M¨obius sur les groupes ab´eliens finis", Ann. of Math, 49(2), pp.600~609 (1948)
- P. Dyubyuk, "On the number of subgroups of a finite abelian group", Soviet Math, 2, pp.298~300 (1961)
- J. Petrillo, "Counting subgroups in a direct product of finite cyclic groups", College Math. J, 42(3), pp.215~222 (2011)
- Y. Yeh, "On prime power abelian groups", Bull. Amer. Math. Soc, 54, pp.323~327 (1948)
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