Geodesic
Stably solvable groups
Izvestiya. Mathematics , Tome 3 (1969) no. 4, pp. 723-736.

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It is proved that in the class of radical groups containing solvable subgroups of some class $s$, the descending chain condition for subgroups is equivalent to the descending chain condition for solvable subgroups of class $s$. 
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     author = {D. I. Zaitsev},
     title = {Stably solvable groups},
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D. I. Zaitsev. Stably solvable groups. Izvestiya. Mathematics , Tome 3 (1969) no. 4, pp. 723-736. http://geodesic.mathdoc.fr/item/IM2_1969_3_4_a3/

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[3] Sesekin N. F., Shirokovskaya O. S., “Ob odnom klasse dvustupennykh grupp”, Matem. sb., 46:2 (1958), 133–141 | MR

[4] Hall Ph., “On the finiteness of certain soluble groups”, Proc. London Math. Soc., 9 (1959), 595–622 | DOI | MR | Zbl

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