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Abstract
The existence of the locally solvable radical in a torsion group is established, and this is identified with an intersection of prime normal subgroups. As a consequence a structure theorem is obtained for torsion groups. Also the properties of the solvable radical in an arbitrary group are investigated in the case where the radical exists.
* Supported by the National Natural Science Foundation of China
* Supported by the National Natural Science Foundation of China
Notes
* Supported by the National Natural Science Foundation of China