New Characterizations of p-Supersolubility of Finite Groups |
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Authors: | Jinbao Li Yanxiong Yan |
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Institution: | 1. School of Mathematics and Finance , Chongqing University of Arts and Sciences , Chongqing , China;2. Department of Mathematics and Information Engineering , Chongqing University of Education , Chongqing , China |
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Abstract: | Let H be a subgroup of a finite group G. H is said to be λ-supplemented in G if G has a subgroup T such that G = HT and H ∩ T ≤ H SE , where H SE denotes the subgroup of H generated by all those subgroups of H, which are S-quasinormally embedded in G. In this article, some results about the λ-supplemented subgroups are obtained, by which we determine the structure of some classes of finite groups. In particular, some new characterizations of p-supersolubility of finite groups are given under the assumption that some primary subgroups are λ-supplemented. As applications, a number of previous known results are generalized. |
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Keywords: | Finite groups p-Supersoluble groups λ-Supplemented subgroups |
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