Geodesic
On frattini-like subgroups
Glasgow mathematical journal, Tome 35 (1993) no. 3, p. 408

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

Theorem 3 of the paper, published in the Glasgow Mathematical Journal 35 (1993), 95–98, is stated incorrectly.The subgroup G′ ∩ L(G) is nilpotent but not, in general, finitely generated (a suitable counterexample being provided by the group whose presentation is given n the Introduction). In groups with the property σ the Fitting radical is itself finitely generated and so the conclusion of Theorem 3 holds in this special case. The words “finitely generated” should be deleted from the paragraph preceding the statement of Theorem 4, but both this theorem and its proof are correct. 
Beidleman, James C.; Smith, Howard. On frattini-like subgroups. Glasgow mathematical journal, Tome 35 (1993) no. 3, p. 408. doi: 10.1017/S001708950000999X
@article{10_1017_S001708950000999X,
     author = {Beidleman, James C. and Smith, Howard},
     title = {On frattini-like subgroups},
     journal = {Glasgow mathematical journal},
     pages = {408--408},
     year = {1993},
     volume = {35},
     number = {3},
     doi = {10.1017/S001708950000999X},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708950000999X/}
}
TY  - JOUR
AU  - Beidleman, James C.
AU  - Smith, Howard
TI  - On frattini-like subgroups
JO  - Glasgow mathematical journal
PY  - 1993
SP  - 408
EP  - 408
VL  - 35
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S001708950000999X/
DO  - 10.1017/S001708950000999X
ID  - 10_1017_S001708950000999X
ER  - 
%0 Journal Article
%A Beidleman, James C.
%A Smith, Howard
%T On frattini-like subgroups
%J Glasgow mathematical journal
%D 1993
%P 408-408
%V 35
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S001708950000999X/
%R 10.1017/S001708950000999X
%F 10_1017_S001708950000999X

Cité par Sources :