Geodesic
On the $\pi$-length of locally finite $\pi$-separable groups
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 3, pp. 226-230

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We prove the $\pi$-separability of a locally finite group $G$ in which all finite subgroups are $\pi$-separable and their $\pi$-lengths are bounded in total.
Keywords: locally finite groups, $\pi$-separable groups, $\pi$-length of a group. 
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     title = {On the $\pi$-length of locally finite $\pi$-separable groups},
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Z. B. Selyaeva. On the $\pi$-length of locally finite $\pi$-separable groups. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 3, pp. 226-230. http://geodesic.mathdoc.fr/item/TIMM_2016_22_3_a22/