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The influence of the number of non-(sub)normal non-abelian subgroups on solvability of finite groups
  • ISSN号：1005-3867
  • 期刊名称：Algebra Colloquium
  • 时间：0
  • 页码：-
  • 分类：O186.1[理学—数学;理学—基础数学] O175.8[理学—数学;理学—基础数学]
  • 作者机构：School of Mathematics and Information Science, Yantai University Yantai, Shandong 264005, China
  • 相关基金：The first author was supported by NSFC （11201401）. The second author was supported by NSFC （11201403）.
  • 相关项目：点传递图中若干问题的研究
作者： Shi, Jiangtao|Zhang, Cui|
关键词： 阿贝尔子群, 可解性, 有限群, 有限可解群, 充分条件, non-abelian subgroup, non-normal, non-subnormal, solvable
中文摘要：

我们在数字上获得一些足够的条件非 --( 潜水艇) 一个有限的组到的正常 non-abelian 亚群可解决，它在 2011 扩大史和张的结果。

英文摘要：

We obtain some sufficient conditions on the number of non-（sub）normai nonabelian subgroups of a finite group to be solvable, which extend a result of Shi and Zhang in 2011.

同期刊论文项目
有限群的Frobenius谱集合与子群的共轭类型
期刊论文 48
点传递图中若干问题的研究
期刊论文 16
同项目期刊论文
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p-divisibility of conjugacy class sizes and normal p-complements
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A note on the normalizer of Sylow 2-subgroup of special linear group SL_2(p^f)
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Recognition of L2(q) by its group order and largest irreducible character degree
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非平凡循环子群共轭类类数较小的有限非可解群
Finite groups with few vanishing elements
Finite groups with some non-cyclic subgroups having small indices in their normalizers
非幂零极大子群共轭类类数给定的有限群
On the set of the numbers of conjugates of noncyclic proper subgroups of finite groups
A note on 2-nilpotence of finite groups
关于极大子群指数的一个注记Ⅱ
具有给定共轭类长的有限群（Ⅱ）
Finite groups with some subgroups of given order
Finite groups in which every subgroup is a subnormal subgroup or a TI-subgroup
关于极大子群指数的一个注记
Characterization of finite groups by the number of non-cyclic non-TI-subgroups
On non-normal non-abelian subgroups of finite groups
A note on finite groups with the indice of some maximal subgroups being primes
A remark on “A note on TI-subgroups of finite groups”
非平凡循环子群共轭类类数较小的有限非可解群
非幂零极大子群共轭类类数给定的有限群
Finite groups with non-cyclic 2-subgroups which are subnormal or have small indices in their normali
On a finite group in which every non-abelian subgroup is a TI-subgroup
关于极大子群指数的一个注记Ⅱ
期刊信息
  • 《代数集刊：英文版》
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院、苏州大学
  • 主编：万哲先
  • 地址：北京市海淀区中关村中国科学院数学与系统科学研究院内
  • 邮编：100080
  • 邮箱：
  • 电话：010-64884955
  • 国际标准刊号：ISSN：1005-3867
  • 国内统一刊号：ISSN：11-3382/O1
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国科学引文索引（扩展库）,日本日本科学技术振兴机构数据库
  • 被引量:0