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Characterization of the soluble one-generated totally saturated formations of finite groups |
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| Authors: | V G Safonov |
| Institution: | (1) F. Scorina Gomel State University, Gomel’, Belarus |
| 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. |
| Keywords: | formation of finite groups totally saturated formation lattice of formations τ -closed formation one-generated formation |
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