Geodesic
A Number Theory Problem Concerning Finite Groups and Rings
Canadian mathematical bulletin, Tome 7 (1964) no. 1, pp. 23-34

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Let f1(n) denote the number of abelian groups of order n and f2(n) the number of semi-simple rings with n elements. What can be said about the magnitude of fi(n)? We shall prove that one can expect, on the average, about 2.3 groups and 2.5 rings of the kind stated for a given order. First we state without proof the two relevant structure theorems (which are readily available in standard texts). 
Connell, Ian G. A Number Theory Problem Concerning Finite Groups and Rings. Canadian mathematical bulletin, Tome 7 (1964) no. 1, pp. 23-34. doi: 10.4153/CMB-1964-002-1
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     title = {A {Number} {Theory} {Problem} {Concerning} {Finite} {Groups} and {Rings}},
     journal = {Canadian mathematical bulletin},
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     year = {1964},
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     doi = {10.4153/CMB-1964-002-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-002-1/}
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