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Revista Colombiana de Matemáticas
versão impressa ISSN 0034-7426
Resumo
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.
Palavras-chave : Finite group; formation of groups; satellite of formation; τ-closed totally composition formation; inductive lattice of formations.