| 摘要: |
| 本文研究了一类有限可解MC-群G.若群G的任意非正规循环子群H，都存在一个素数p使得|G：HG||p，则群G被称为MC-群.利用该群的可解性，获得了非幂零可解MC-群的详细分类. |
| 关键词: 有限p-群 MC-群 可解群 |
| DOI： |
| 分类号:O152.1 |
| 基金项目:国家自然科学基金资助项目（11471266）；中央高校基本科研业务专项基金资助项目（XDJK2015B033）. |
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| FINITE GROUPS WITH WEAK NORMALITY |
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XUE Hai-bo1, ZHANG Yu2, LÜ Heng2
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1.College of Electromechanical and Information Engineering, Chongqing College of Humanities, Science and Technology, Hechuan 401524, China;2.School of Mathematics and Statistics, Southwest University, Chongqing 400715, China
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| Abstract: |
| In the paper, we study the finite soluble MC-groups. The group G is called an MC-group if there exists a prime p such that|G:HG||p for each non-normal cyclic subgroup H of G. By using the solvability of G, we give the classification of the finite soluble non-nilpotent MC-groups. |
| Key words: finite p-group MC-group soluble group |
