Abstract
We prove the existence of infinite subgroups with nontrivial locally finite radicals and of locally finite subgroups in the groups with almost finite almost solvable elements of prime orders and in the groups with generally finite elements.
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Original Russian Text Copyright © 2006 Sozutov A. I. and Yanchenko M. V.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 47, No. 4, pp. 898–913, July–August, 2006.
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Sozutov, A.I., Yanchenko, M.V. On the existence of f-local subgroups in a group. Sib Math J 47, 740–750 (2006). https://doi.org/10.1007/s11202-006-0085-7
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DOI: https://doi.org/10.1007/s11202-006-0085-7