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On Nearly SS-Embedded Subgroups of Finite Groups |
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| Authors: | Lijun HUO Wenbin GUO and Alexander A MAKHNEV |
| Institution: | 1. Department of Mathematics, University of Science and Technology of China, Hefei 230026, China 2. Department of Mathematics, University of Science and Technology of China,Hefei 230026,China 3. Institute of Mathematics and Mechanics of UB RAS, Ekaterinburg 620219, Russia |
| Abstract: | Let H be a subgroup of a finite group G. H is nearly SS-embedded in G if there exists an S-quasinormal subgroup K of G, such that HK is S-quasinormal in G and H ∩ K ≤ H seG , where H seG is the subgroup of H, generated by all those subgroups of H which are S-quasinormally embedded in G. In this paper, the authors investigate the influence of nearly SS-embedded subgroups on the structure of finite groups. |
| Keywords: | S-quasinormal subgroup Nearly SS-embedded subgroup Sylow subgroup p-nilpotent group Supersolvable group |
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