International Journal For Multidisciplinary Research
A Widely Indexed Open Access Peer Reviewed Multidisciplinary Bi-monthly Scholarly International Journal
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Volume 6 Issue 2
To Study on Number of Subgroups of Finite Abelian Group Zm ⊗ Zn
|MOHD HAQNAWAZ KHAN, Ashfaque ur Rehman
|In this paper, we determine the number of subgroups of group Z_(p^m ) ⊗ Z_(p^n ) which may be cyclic or non –cyclic by using simple number –theoretic formulae. We describe the subgroups of the group and derive a simple formula for the total number s(m,n ) of the subgroups where m, n are arbitrary positive integers. We point out that certain multiplicative properties of related counting functions for finite. Abelian groups are immediate consequences of these formula.
|Subgroups, Abelian groups, Cyclic ,Theoretic Formula, Finite Abelian Groups,
|Volume 6, Issue 1, January-February 2024
|To Study on Number of Subgroups of Finite Abelian Group Zm ⊗ Zn - MOHD HAQNAWAZ KHAN, Ashfaque ur Rehman - IJFMR Volume 6, Issue 1, January-February 2024. DOI 10.36948/ijfmr.2024.v06i01.13138
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