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On finite groups with prime-power order |
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| Authors: | Xianbiao?Wei,Xiuyun?Guo author-information" > author-information__contact u-icon-before" > mailto:xyguo@shu.edu.cn" title=" xyguo@shu.edu.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
| Affiliation: | 1.Department of Mathematics,Shanghai University,Shanghai,People’s Republic of China;2.Department of Mathematics and Physics,Anhui Institute of Architecture and Industry,Hefei,People’s Republic of China |
| Abstract: | A subgroup H of a finite group G is said to be S-quasinormally embedded in G if for each prime p dividing the order of H, a Sylow p-subgroup of H is also a Sylow p-subgroup of some S-quasinormal subgroup of G. In this paper we investigate the structure of finite groups that have some S-quasinormally embedded subgroups of prime-power order, and new criteria for p-nilpotency are obtained. |
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