Finite groups with some ?-quasinormal minimal subgroups

被引：1
作者：
Yangming Li
Yanming Wang
机构：
[1] Guangdong College of Education,Deptartment of Mathematics
[2] Zhongshan University,Lingnan College and School of Mathematics
来源：
Acta Mathematica Hungarica | 2004年 / 102卷
关键词：
nilpotent group; ?-nilpotent group; saturated formation; ?-quasinormal subgroup;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We use ?-quasinormal condition on minimal subgroups to Characterize the structure of a finite group through the theory of formation. We give some equivalent conditions of a nilpotent group or a saturated formation containing the nilpotent groups. Our results generalize earlier theorems of Yokoyama, Ballester-Bolinches and Pedraza Aguilera.
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页码：213 / 222
页数：9
相关论文
共 16 条
[1]  
Asaad M.(1996)A note on minimal subgroups of finite groups Communications in Algebra 24 2771-2776
[2]  
Ballester-Bolinches A.(1989)\tH-normalizers and local definitions of saturated formations of finite groups Israel J. Math. 67 312-326
[3]  
Pedraza Aguilera M. C.(1996)On minimal subgroups of finite groups Acta Math. Hungar. 73 335-342
[4]  
Ballester-Bolinches A.(1970)Finite groups whose minimal subgroups are normal Math. Z. 116 15-17
[5]  
Ballester-Bolinches A.(1985)The influence of minimal Arch. Math. 45 1-4
[6]  
Pedraza Aguilera M. C.(1997)-subgroups on the structure of finite groups Arch. Math. 68 350-366
[7]  
Buckley J.(1962)Automorphisms fixing elements of prime order in finite groups Math. Z. 78 205-221
[8]  
Derr J. B.(1990)Sylow-Gruppen und abnormalteiler endlicher Gruppen Acta. Math. Hungar. 56 287-293
[9]  
Deskins W. E.(2000)The influence of \gp-quasinormality of some subgroups Acta Math. Sinica 16 63-70
[10]  
Mukherjee N. P.(1975)The influence of minimal subgroups on the structure of finite groups Arch. Math. 26 123-130
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