| 引用本文： |
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李世荣,刘小春,申振才,刘建军.CCAP-子群与有限p-超可解群[J].广西科学,2007,14(4):327-331. [点击复制]
- LI Shi-rong,LIU Xiao-chun,SHEN Zhen-cai,LIU Jian-jun.The CCAP-subgroups and the Finite p-supersoluble Groups[J].Guangxi Sciences,2007,14(4):327-331. [点击复制]
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| 摘要: |
| 在群G中,设p是一个素数,H是群G的一个p-可解的正规子群并使得G/H是p-超可解的。若H的所有的Sylow p-子群(或者Fp(H)包含OP'(H))的极大子群是G的CCAP-子群,那么G是p-超可解的。 |
| 关键词: CCAP-子群 CCP-子群 CAP-子群 p-超可解 p-Fitting子群 |
| DOI： |
| 投稿时间：2007-05-25 |
| 基金项目:Supported by the Natural Science Foundation of China and the Natural Science Foundation of Guangxi Autonomous Region (No0249001);the Graduate lnnovation Foundation of Guangxi Autonomous Region. |
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| The CCAP-subgroups and the Finite p-supersoluble Groups |
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LI Shi-rong, LIU Xiao-chun, SHEN Zhen-cai, LIU Jian-jun
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| (College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China) |
| Abstract: |
| In group G, let p be a prime and H be a p-soluble normal subgroup of G such that G/H is p-supersoluble.If all maximal subgroups of the sylow p-subgroups of H (or Fp (H) which contain Op' (H)) are CCAP-subgroups of G, then G is p-supersoluble. |
| Key words: CCAP-subgroup CCP-subgroup CAP-subgroup p-supersoluble Fp (G) |
