有限群的若干局部性质

J4 ›› 2012, Vol. 47 ›› Issue (12): 72-77.

有限群的若干局部性质

鲍宏伟¹，邱婷婷²,梁倞²

1. 蚌埠学院数理系,安徽蚌埠 233030; 2. 扬州大学数学科学学院, 江苏扬州 225002

收稿日期:2011-12-31 出版日期:2012-12-20 发布日期:2012-12-14
作者简介:鲍宏伟(1970- ),男,讲师,硕士,研究方向为有限群论. Email: big_bao2003@163.com
基金资助:
国家自然科学基金资助项目(10901133,11271026);江苏省高校自然科学基金资助项目(09KJB110009)；安徽蚌埠学院自然科学基金资助项目(2011ZR03zd)

On some local properties of finite groups

BAO Hong-wei¹, QIU Ting-ting², LIANG Liang²

1. Department of Mathematics and Physics, Bengbu College, Bengbu 233030, Anhui, China;
2. School of Mathematical Science, Yangzhou University, Yangzhou 225002, Jiangsu, China

Received:2011-12-31 Online:2012-12-20 Published:2012-12-14

摘要/Abstract

摘要：

运用准素子群的M-置换性质和半覆盖-远离性质,研究有限群的构造,得到了关于超可解群和饱和群系的一些新结果。

关键词: 准素子群;M-置换子群;SCAP子群;超可解群;半覆盖远离性质

Abstract:

The structue properties of finite groups are investigated by using M-permutability and semi coveravoiding property of primary subgroups. Some new results about supersolvable groups and saturated formation are obtained.

Key words: primary subgroup; M-permutable subgroup; SCAP subgroup; supersolvable group; semi cover-avoiding property

鲍宏伟1，邱婷婷2,梁倞2. 有限群的若干局部性质[J]. J4, 2012, 47(12): 72-77.

BAO Hong-wei1, QIU Ting-ting2, LIANG Liang2. On some local properties of finite groups[J]. J4, 2012, 47(12): 72-77.

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