Abstract
Let be a finite group. A subgroup of is called weakly -permutably embedded in if there is a subnormal subgroup of and an -permutably embedded subgroup of contained in such that and . The subgroup is called weakly -supplemented in if has a subgroup such that and , where is the largest -permutable subgroup of contained in . In this paper, we investigate the influence of weakly -permutably embedded and weakly -supplemented subgroups on the structure of finite groups. Some recent results are generalized.
Citation
Guo Zhong. XuanLong Ma. Shixun Lin. Jiayi Xia. Jianxing Jin. "Finite groups with some weakly $s$-permutably embedded and weakly $s$-supplemented subgroups." Involve 8 (2) 253 - 262, 2015. https://doi.org/10.2140/involve.2015.8.253
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