Abstract

TSAREV, Aleksandr. Inductive lattices of totally composition formations. Rev.colomb.mat. [online]. 2018, vol.52, n.2, pp.161-169. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v52n2.77156.

Let τ be a subgroup functor such that all subgroups of every finite group G contained in τ(G) are subnormal in G. In this paper, we give a simple proof of the fact that the lattice of all τ-closed totally composition formations of finite groups is inductive.

Keywords : Finite group; formation of groups; satellite of formation; τ-closed totally composition formation; inductive lattice of formations.

        · abstract in Spanish     · text in English     · English ( pdf )