Abstract:
Let ΘΘ be a full modular lattice of the formation of finite groups
and let 0Θ0Θ be zero of ΘΘ. We say that a ΘΘ-formation
F≠0Θ has the Θ-length lΘ(F) equal to
n if there exist Θ-formations
F0,F1,…,Fn
such that Fn=F, F0=0Θ, and
Fi−1 is a maximal Θ-subformation of
Fi, i=1,…,n. In this paper, a complete description
of the structure of composite formations of the c-length 3 is obtained.
Received: 03.07.1998 Revised: 14.03.2000
Bibliographic databases:
UDC:512.542
Language: Russian
Citation:
V. A. Vedernikov, D. G. Koptyukh, “Compositional formations of c-length 3”, Diskr. Mat., 13:1 (2001), 119–131; Discrete Math. Appl., 11:2 (2001), 199–211
This publication is cited in the following 1 articles:
E. N. Demina, “The lattices of $n$-multiply $\Omega_1$-foliated $\tau$-closed formations of multioperator $T$-groups”, Discrete Math. Appl., 22:2 (2012), 147–172