π-Brauer特征标的一些群理论性质

J4 ›› 2012, Vol. 50 ›› Issue (4): 717-718.

π-Brauer特征标的一些群理论性质

海进科, 李正兴

青岛大学数学科学学院, 山东青岛 266071

收稿日期:2011-12-25 出版日期:2012-07-01 发布日期:2012-09-07
通讯作者: 海进科 E-mail:haijinke2002@yahoo.com.cn

Some Group Theoretical Properties-of π-Brauer Character

HAI Jinke, LI Zhengxing

School of Mathematics, Qingdao University, Qingdao 266071, Shandong Province, China

Received:2011-12-25 Online:2012-07-01 Published:2012-09-07
Contact: HAI Jinke E-mail:haijinke2002@yahoo.com.cn

摘要/Abstract

摘要：

通过定义有限群的π-中心, 推广了群中心的概念, 建立了有限群的π-中心与π-Brauer特征标中心之间的关系, 得到了特征标π-理论的一些群理论性质.

关键词: π-可分群, π-中心, Bπ\, 特征标

Abstract:

The definition of π-centers of finite groups was introduced, generalizing the definition of centers of finite groups, the relationships between π-center and center of π-Brauer characters were established and some group theoretical properties were obtained.

Key words: πseparable group, πcenter, Bπcharacter

中图分类号:

海进科, 李正兴. π-Brauer特征标的一些群理论性质[J]. J4, 2012, 50(4): 717-718.

HAI Jinke, LI Zhengxing. Some Group Theoretical Properties-of π-Brauer Character[J]. J4, 2012, 50(4): 717-718.