On the Subgroups of Finite Abelian Groups of Rank Three
نویسندگان
چکیده
We describe the subgroups of the group Zm × Zn × Zr and derive a simple formula for the total number s(m,n, r) of the subgroups, where m,n, r are arbitrary positive integers. An asymptotic formula for the function n 7→ s(n, n, n) is also deduced.
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