The locally solvable radical of torsion groups * |
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| Authors: | Zhirang Zhang Wenze Yang |
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| Institution: | 1. Chengdu Institute of Meteorology , Chengdu, Sichuan, China;2. Yunnan Normal University , Kunming, Yunnan, 650031, China |
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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. |
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