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ℱ-subnormal and ℱ-subabnormal chains in finite groups

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Abstract

The class ℱpc of all finite groupsG is defined such thatX≤G implies that there exists an ℱ-subnormal subgroupS ofG containingX such thatX is ℱ-subabnormal inS, where ℱ is a saturated formation, closed under taken subgroups. Groups in ℱpc are characterized by ℱ-projectors and ℱ-covering subgroups.

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Authors and Affiliations

  1. Department of Mathematics, Guangxi University, 530004, Nanning, China

    Shirong Li

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  1. Shirong Li
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Project supported by the National Natural Science Foundation of China (Grant No. 19760001) and the Natural Science Foundation of Guangxi Autonomous Region.

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Li, S. ℱ-subnormal and ℱ-subabnormal chains in finite groups. Sci. China Ser. A-Math. 41, 1121–1127 (1998). https://doi.org/10.1007/BF02871973

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  • DOI: https://doi.org/10.1007/BF02871973

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