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

Voir la notice de l'article provenant de la source Cambridge University Press

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
@article{10_4153_CMB_1964_002_1,
     author = {Connell, Ian G.},
     title = {A {Number} {Theory} {Problem} {Concerning} {Finite} {Groups} and {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {23--34},
     year = {1964},
     volume = {7},
     number = {1},
     doi = {10.4153/CMB-1964-002-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-002-1/}
}
TY  - JOUR
AU  - Connell, Ian G.
TI  - A Number Theory Problem Concerning Finite Groups and Rings
JO  - Canadian mathematical bulletin
PY  - 1964
SP  - 23
EP  - 34
VL  - 7
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-002-1/
DO  - 10.4153/CMB-1964-002-1
ID  - 10_4153_CMB_1964_002_1
ER  - 
%0 Journal Article
%A Connell, Ian G.
%T A Number Theory Problem Concerning Finite Groups and Rings
%J Canadian mathematical bulletin
%D 1964
%P 23-34
%V 7
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-002-1/
%R 10.4153/CMB-1964-002-1
%F 10_4153_CMB_1964_002_1

[1] 1. Erdös, P. and Szekeres, G., Über die Anzahl der Abelschen Gruppen gegebener Ordnung und über ein verwandtes zahlentheoretisches Problem. Acta Litt. Sci. Szeged, v. 7(1934), pp. 95–102. Google Scholar

[2] 2. Hardy, G.H. and Riesz, M., The General Theory of Dirichlet Series. Cambridge Tract No. 18. Google Scholar

[3] 3. Wiener, N., The Fourier Integral. Google Scholar

Cité par Sources :