Geodesic
Critical Non-Singly-Generated Totally Canonical Fitting Classes of Finite Groups
Matematičeskie zametki, Tome 83 (2008) no. 4, pp. 520-527

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

Let $\mathfrak I$ be the class of all finite simple groups and $f\colon\mathfrak I\to\{\text{Fitting classes of groups}\}$. The Fitting class $\mathfrak F=KR(f)=(G:O^{A,A'}(G)\in f(A)\text{ for any }A \in K(G))$ is referred to as a canonical Fitting class with satellite $f$. A non-singly-generated totally canonical Fitting class $\mathfrak F$ is said to be critical non-singly-generated if all proper totally canonical Fitting subclasses in $\mathfrak F$ are singly generated. In the paper, a complete description of the structure of the critical non-singly-generated totally canonical Fitting classes of finite groups is obtained.
Keywords: finite simple group, Fitting class, Fitting formation, singly generated Fitting class, local formation of finite groups.
Mots-clés : satellite 
@article{MZM_2008_83_4_a3,
     author = {V. E. Egorova},
     title = {Critical {Non-Singly-Generated} {Totally} {Canonical} {Fitting} {Classes} of {Finite} {Groups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {520--527},
     publisher = {mathdoc},
     volume = {83},
     number = {4},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2008_83_4_a3/}
}
TY  - JOUR
AU  - V. E. Egorova
TI  - Critical Non-Singly-Generated Totally Canonical Fitting Classes of Finite Groups
JO  - Matematičeskie zametki
PY  - 2008
SP  - 520
EP  - 527
VL  - 83
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2008_83_4_a3/
LA  - ru
ID  - MZM_2008_83_4_a3
ER  - 
%0 Journal Article
%A V. E. Egorova
%T Critical Non-Singly-Generated Totally Canonical Fitting Classes of Finite Groups
%J Matematičeskie zametki
%D 2008
%P 520-527
%V 83
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2008_83_4_a3/
%G ru
%F MZM_2008_83_4_a3
V. E. Egorova. Critical Non-Singly-Generated Totally Canonical Fitting Classes of Finite Groups. Matematičeskie zametki, Tome 83 (2008) no. 4, pp. 520-527. http://geodesic.mathdoc.fr/item/MZM_2008_83_4_a3/