关于有限π-可分群的π-正则类函数（英文）  

ON THE π-REGULAR CLASS FUNCTIONS OF A FINITE π-SEPARABLE GROUP

作　　者：郭继东[1] 海进科 GUO Ji-dong;HAI Jin-ke(College of Mathematics and Statistics,Yili Normal University,Yining 835000,China;College of Mathematics and Statistics,Qingdao University,Qingdao 266071,China)

机构地区：[1]伊犁师范学院数学与统计学院,新疆伊宁835000 [2]青岛大学数学与统计学院,山东青岛266071

出　　处：《数学杂志》2018年第3期453-458,共6页Journal of Mathematics

基　　金：Supported by the Natural Science Foundation of Xinjiang Uygurzizhiqu(2016D01C387)

摘　　要：本文研究了有限π-可分群的主不可分解Bπ'-特征标.利用特征标π-理论中的分解矩阵,得到了关于有限π-可分群的π-正则类函数的一些重要结果,推广了一些著名定理.In this paper, we study the principal indecomposable Bπ＇-characters of a finiteπ-separable group. By using the decomposition matrices in the π-theory of characters, we obtain some important results on π-regular class functions of a finite π-separable group, which generalizes some well-known theorems.

关 键 词：Π-可分群 π-正则类函数 Bπ-特征标 

分 类 号：O152.6[理学—数学]