Journal of Jilin University Science Edition ›› 2022, Vol. 60 ›› Issue (4): 821-826.

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Weakly τσ-Embedded Subgroups of Finite Groups

WANG Dashan, WU Zhenfeng, KONG Xiangzhi, YANG Nanying   

  1. School of Science, Jiangnan University, Wuxi 214122, Jiangsu Province, China
  • Received:2021-11-16 Online:2022-07-26 Published:2022-07-26

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Abstract: By introducing  the notion of weakly τσ-embedded subgroups, sufficient conditions of σ-solubility and supersolubility of finite groups were given respectively in terms of weakly τσ-embedded subgroups, which generalized some existing results of supersolubility.

Key words: finite group, σ-permutable subgroup, τσ-quasinormal subgroup, weakly τ-embedded subgroup, weakly τσ-embedded subgroup

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