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This article is cited in 6 scientific papers (total in 6 papers)
A Question in the Theory of Totally Local Formations of Finite Groups
V. G. Safonov Francisk Skorina Gomel State University
Abstract:
It is proved that all proper totally local subformations of a non one-generated totally local formation $\mathfrak F$ of finite groups are one-generated iff $\mathfrak F$ coincides with a formation $\mathfrak S_\pi$ of all soluble $\pi$-groups, where $|\pi|=2$.
Keywords:
totally local formation of finite groups, soluble $\pi$-group.
Received: 23.01.2002
Citation:
V. G. Safonov, “A Question in the Theory of Totally Local Formations of Finite Groups”, Algebra Logika, 42:6 (2003), 727–736; Algebra and Logic, 42:6 (2003), 407–412
Linking options:
https://www.mathnet.ru/eng/al52 https://www.mathnet.ru/eng/al/v42/i6/p727
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