On The Number of Groups of Squarefree Order
Canadian mathematical bulletin, Tome 30 (1987) no. 4, pp. 412-420

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

DOI

Let G(n) denote the number of non-isomorphic groups of order n. We prove that for squarefree integers n, there is a constant A such that where denotes the Euler function. This upper bound is essentially best possible, apart from the constant A.
DOI : 10.4153/CMB-1987-061-x
Mots-clés : 10H26
Murty, M. Ram; Srinivasan, S. On The Number of Groups of Squarefree Order. Canadian mathematical bulletin, Tome 30 (1987) no. 4, pp. 412-420. doi: 10.4153/CMB-1987-061-x
@article{10_4153_CMB_1987_061_x,
     author = {Murty, M. Ram and Srinivasan, S.},
     title = {On {The} {Number} of {Groups} of {Squarefree} {Order}},
     journal = {Canadian mathematical bulletin},
     pages = {412--420},
     year = {1987},
     volume = {30},
     number = {4},
     doi = {10.4153/CMB-1987-061-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-061-x/}
}
TY  - JOUR
AU  - Murty, M. Ram
AU  - Srinivasan, S.
TI  - On The Number of Groups of Squarefree Order
JO  - Canadian mathematical bulletin
PY  - 1987
SP  - 412
EP  - 420
VL  - 30
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-061-x/
DO  - 10.4153/CMB-1987-061-x
ID  - 10_4153_CMB_1987_061_x
ER  - 
%0 Journal Article
%A Murty, M. Ram
%A Srinivasan, S.
%T On The Number of Groups of Squarefree Order
%J Canadian mathematical bulletin
%D 1987
%P 412-420
%V 30
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-061-x/
%R 10.4153/CMB-1987-061-x
%F 10_4153_CMB_1987_061_x

Cité par Sources :