Sylow子群的极大子群s*-置换嵌入的有限群

J4 ›› 2011, Vol. 49 ›› Issue (03): 409-411.

Sylow子群的极大子群s^*-置换嵌入的有限群

李长稳¹, 於遒²

1. 徐州师范大学数学科学学院, 江苏徐州 221116|2. 淮海工学院理学院, 江苏连云港 222005

收稿日期:2010-02-24 出版日期:2011-05-26 发布日期:2011-06-15
通讯作者: 於遒 E-mail:property1111@yahoo.com.cn

Finite Groups with the Maximal Subgroups ofSylow Subgroup s^*Permutably Embedded

LI Changwen¹, YU Qiu²

1. School of Mathematical Science, Xuzhou Normal University, Xuzhou 221116, Jiangsu Province, China;2. School of Science, Huaihai Institute of Technology, Lianyungang 222005, Jiangsu Province, China

Received:2010-02-24 Online:2011-05-26 Published:2011-06-15
Contact: YU Qiu E-mail:property1111@yahoo.com.cn

摘要/Abstract

摘要：

利用Sylow子群的极大子群的s^*-置换嵌入性研究有限群的p幂零性和超可解性, 并给出了一个群属于给定的饱和群系的新的判别准则.

关键词: s^*-置换嵌入, s-置换, p幂零, 超可解

Abstract:

The pnilpotency and supersolvability of finite groups were investigated by means of the s^*permutably embedding property of maximal subgroups of Sylow subgroup. Meanwhile, a new criterion of a group belongs to a given saturated formation was obtained.

Key words: s^*permutably embedded, spermutable, pnilpotent, supersolvable

中图分类号:

O152

李长稳, 於遒. Sylow子群的极大子群s^*-置换嵌入的有限群[J]. J4, 2011, 49(03): 409-411.

LI Chang-Wen, WU Qiu. Finite Groups with the Maximal Subgroups ofSylow Subgroup s^*Permutably Embedded[J]. J4, 2011, 49(03): 409-411.

[1]	周玉英. 有限群的可补子群的相关性质[J]. 吉林大学学报(理学版), 2021, 59(2): 229-232.
[2]	唐娜, 黎先华. 可补子群对有限群结构的影响[J]. 吉林大学学报(理学版), 2014, 52(02): 266-268.
[3]	鲍宏伟, 缪利云. 有限群的M_p-嵌入子群[J]. 吉林大学学报(理学版), 2013, 51(06): 1009-1012.