Geodesic
On Groups with all Composition Factors Isomorphic
Canadian mathematical bulletin, Tome 9 (1966) no. 4, pp. 413-415

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

DOI

By the celebrated theorem of Jordan [3] and Hölder [2], there is associated with each finite group G a family of distinct simple groups Hi. such that every composition series of G has ni factor groups isomorphic to Hi and no others. We denote the collection of pairs (Hi, ni) by CF(G). Conversely, given k pairs (Hi, ni), we may construct by an easy direct product procedure a group G with CF(G) = { (Hi, ni) | i =1,..., k}. The composition factors, of course, do not in general determine the group. 
Bercov, R. On Groups with all Composition Factors Isomorphic. Canadian mathematical bulletin, Tome 9 (1966) no. 4, pp. 413-415. doi: 10.4153/CMB-1966-048-3
@article{10_4153_CMB_1966_048_3,
     author = {Bercov, R.},
     title = {On {Groups} with all {Composition} {Factors} {Isomorphic}},
     journal = {Canadian mathematical bulletin},
     pages = {413--415},
     year = {1966},
     volume = {9},
     number = {4},
     doi = {10.4153/CMB-1966-048-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-048-3/}
}
TY  - JOUR
AU  - Bercov, R.
TI  - On Groups with all Composition Factors Isomorphic
JO  - Canadian mathematical bulletin
PY  - 1966
SP  - 413
EP  - 415
VL  - 9
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-048-3/
DO  - 10.4153/CMB-1966-048-3
ID  - 10_4153_CMB_1966_048_3
ER  - 
%0 Journal Article
%A Bercov, R.
%T On Groups with all Composition Factors Isomorphic
%J Canadian mathematical bulletin
%D 1966
%P 413-415
%V 9
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-048-3/
%R 10.4153/CMB-1966-048-3
%F 10_4153_CMB_1966_048_3

Cité par Sources :