Abstract
Let H be a subgroup of a group G. Then we say that H is w-s-permutable in G if G has a normal subgroup K such that HK is s-permutable in G and \(H\cap K\) is nearly s-permutable in G. In this article, we analyse the structure of a group G by using the properties of w-s-permutable subgroups and obtain some new characterizations of p-nilpotent groups and supersoluble groups. Some known results are generalized.
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The authors would like to thank the referee for his/her valuable suggestions and useful comments contributed to the final version of this article.
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The research of the work was partially supported by the National Natural Science Foundation of China (11371237) and a grant of “The First-Class Discipline of Universities in Shanghai”.
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Gao, J., Guo, X. On w-s-Permutable Subgroups of a Finite Group. Bull Braz Math Soc, New Series 48, 449–459 (2017). https://doi.org/10.1007/s00574-016-0023-7
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DOI: https://doi.org/10.1007/s00574-016-0023-7