Geodesic
The Frattini Subgroup of a p-Group
Canadian mathematical bulletin, Tome 12 (1969) no. 4, pp. 511-512

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

We prove that the Frattini subgroups are trivial for finite groups whose orders are not divisible by squares of a prime.If G is a group, we define its Frattini subgroup φ(G) as the intersection of all the maximal subgroups of G. An element x ∈ G is a nongenerator of G if whenever G = < X, x >, where X ⊆ G, then G = < X >. 
Manley, P. L. The Frattini Subgroup of a p-Group. Canadian mathematical bulletin, Tome 12 (1969) no. 4, pp. 511-512. doi: 10.4153/CMB-1969-067-5
@article{10_4153_CMB_1969_067_5,
     author = {Manley, P. L.},
     title = {The {Frattini} {Subgroup} of a {p-Group}},
     journal = {Canadian mathematical bulletin},
     pages = {511--512},
     year = {1969},
     volume = {12},
     number = {4},
     doi = {10.4153/CMB-1969-067-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-067-5/}
}
TY  - JOUR
AU  - Manley, P. L.
TI  - The Frattini Subgroup of a p-Group
JO  - Canadian mathematical bulletin
PY  - 1969
SP  - 511
EP  - 512
VL  - 12
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-067-5/
DO  - 10.4153/CMB-1969-067-5
ID  - 10_4153_CMB_1969_067_5
ER  - 
%0 Journal Article
%A Manley, P. L.
%T The Frattini Subgroup of a p-Group
%J Canadian mathematical bulletin
%D 1969
%P 511-512
%V 12
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-067-5/
%R 10.4153/CMB-1969-067-5
%F 10_4153_CMB_1969_067_5

[1] 1. Gorenstein, D., Finite groups. (Harper and Row, New York, 1968). Google Scholar

Cité par Sources :