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Characterization of the soluble one-generated totally saturated formations of finite groups

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Abstract

We prove that the finite length condition for the lattice of τ-closed totally saturated subformations of a τ-closed totally saturated formation is equivalent to the finite length condition for this lattice, and it is also equivalent for the formation to be soluble and one-generated.

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Authors and Affiliations

  1. F. Scorina Gomel State University, Gomel’, Belarus

    V. G. Safonov

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  1. V. G. Safonov
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Original Russian Text Copyright © 2007 Safonov V. G.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 48, No. 1, pp. 185–191, January–February, 2007.

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Safonov, V.G. Characterization of the soluble one-generated totally saturated formations of finite groups. Sib Math J 48, 150–155 (2007). https://doi.org/10.1007/s11202-007-0015-3

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  • DOI: https://doi.org/10.1007/s11202-007-0015-3

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