Inductive lattices of totally composition formations-Reference-Cited by-同舟云学术

Inductive lattices of totally composition formations

Published:2018-07-01 Issue:2 Volume:52 Page:161-169
ISSN:2357-4100
Container-title:Revista Colombiana de Matemáticas
language:
Short-container-title:rev.colomb.mat

Author:

Tsarev Aleksandr

Abstract

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.

Publisher

Universidad Nacional de Colombia

Subject

General Mathematics

Reference22 articles.

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5. W. Guo and A. N. Skiba, Two remarks on the identities of lattices of ω-local and ω-composition formations of ﬁnite groups, Russian Math. 46 (2002), no. 5, 12–20.

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