Abstract: 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 \(m\).
Keywords: locally finite group, \(\pi\)-separable group, \(\pi\)-length of the group
For citation: Zhurtov A. H., Seljaeva Z. B. On locally finite \(\pi\)-separable groups. Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol.
17, no. 2, pp.16-21.
DOI 10.23671/VNC.2015.2.7273
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