On locally finite $\pi$-separable groups
Vladikavkazskij matematičeskij žurnal, Tome 17 (2015) no. 2, pp. 16-21

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It is shown that the $\pi$-length of a locally finite $\pi$-separable group $G$ is bounded by a natural $m$ if the $\pi$-length of every finite subgroup of $G$ is bounded by $m$.
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     author = {A. Kh. Zhurtov and Z. B. Seljaeva},
     title = {On locally finite $\pi$-separable groups},
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A. Kh. Zhurtov; Z. B. Seljaeva. On locally finite $\pi$-separable groups. Vladikavkazskij matematičeskij žurnal, Tome 17 (2015) no. 2, pp. 16-21. http://geodesic.mathdoc.fr/item/VMJ_2015_17_2_a2/