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Weakly s-supplementally embedded minimal subgroups of finite groups
| Content Provider | Scilit |
|---|---|
| Author | Zhao, Tao Li, Xianhua Xu, Yong |
| Copyright Year | 2011 |
| Description | Suppose that G is a finite group and H is a subgroup of G. We call H a weakly s-supplementally embedded subgroup of G if there exist a subgroup T of G and an s-quasinormally embedded subgroup $H_{se}$ of G contained in H such that G = HT and H ∩ T ≤ $H_{se}$. We investigate the influence of the weakly s-supplementally embedded property of some minimal subgroups on the structure of finite groups. As an application of our results, some earlier results are generalized. |
| Related Links | http://pdfs.semanticscholar.org/d158/2c6d523ddc13a26865cfb02ae8972e3fd650.pdf https://www.cambridge.org/core/services/aop-cambridge-core/content/view/4661AFCFCCF06D087F74634F1E4B6CEA/S0013091509001667a.pdf/div-class-title-weakly-span-class-italic-s-span-supplementally-embedded-minimal-subgroups-of-finite-groups-div.pdf |
| Ending Page | 807 |
| Page Count | 9 |
| Starting Page | 799 |
| ISSN | 00130915 |
| e-ISSN | 14643839 |
| DOI | 10.1017/s0013091509001667 |
| Journal | Proceedings of the Edinburgh Mathematical Society |
| Issue Number | 3 |
| Volume Number | 54 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2011-10-01 |
| Access Restriction | Open |
| Subject Keyword | Proceedings of the Edinburgh Mathematical Society supplementally Embedded Subgroup Supersolvable Group Nilpotent Group Primary 20d10 |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
