Geodesic
Lattices of subgroup and subsystem functors
Algebra i logika, Tome 45 (2006) no. 6, pp. 710-730

Voir la notice de l'article provenant de la source Math-Net.Ru

Lattices of subgroup and subsystem functors are investigated. In particular, it is proved that for the case where ${\mathcal X}$ is a formation of finite groups and width of the lattice $F_0({\mathcal X})$ is at most $|\pi ({\mathcal X})|$, the formation ${\mathcal X}$ is metanilpotent and $|\pi({\mathcal X})| \leqslant 3$.
Keywords: subsystem functor, subgroup functor, lattice of subsystem functors, lattice of subgroup functors. 
@article{AL_2006_45_6_a3,
     author = {W. Guo and A. N. Skiba and K. P. Sham},
     title = {Lattices of subgroup and subsystem functors},
     journal = {Algebra i logika},
     pages = {710--730},
     publisher = {mathdoc},
     volume = {45},
     number = {6},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2006_45_6_a3/}
}
TY  - JOUR
AU  - W. Guo
AU  - A. N. Skiba
AU  - K. P. Sham
TI  - Lattices of subgroup and subsystem functors
JO  - Algebra i logika
PY  - 2006
SP  - 710
EP  - 730
VL  - 45
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AL_2006_45_6_a3/
LA  - ru
ID  - AL_2006_45_6_a3
ER  - 
%0 Journal Article
%A W. Guo
%A A. N. Skiba
%A K. P. Sham
%T Lattices of subgroup and subsystem functors
%J Algebra i logika
%D 2006
%P 710-730
%V 45
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AL_2006_45_6_a3/
%G ru
%F AL_2006_45_6_a3
W. Guo; A. N. Skiba; K. P. Sham. Lattices of subgroup and subsystem functors. Algebra i logika, Tome 45 (2006) no. 6, pp. 710-730. http://geodesic.mathdoc.fr/item/AL_2006_45_6_a3/