On Weakly ss-Supplemented Subgroups of Finite Groups
Keywords:weakly ss-supplemented subgroups, nilpotentcy, supersolvability, saturated formation
Let H be a subgroup of a finite group G. We say that H is weakly ss-supplemented in G if there exists a subgroup T of G and an s-semipermutable subgroup Hss of G contained in H such that G = HT and H∩T ≤ Hss. In this paper, we get some new characterizations of supersolvability and nilpotentcy of G by assuming some minimal subgroups of G are weakly ss-supplemented. Some recent results are extended and generalized.
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LicenseCopyright (c) 2022 Proceedings of the Bulgarian Academy of Sciences
Copyright (c) 2022 Proceedings of the Bulgarian Academy of Sciences
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