特征标三元组的诱导子映射  

Inductor Maps of Character Triples

作　　者：常学武[1] 韩丽 CHANG Xuewu;HAN Li(School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学数学科学学院

出　　处：《山西大学学报（自然科学版）》2019年第4期811-817,共7页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(11601289);山西省自然科学基金(201601D011006)

摘　　要：研究了特征标三元组的诱导子和限制子的对应关系,引入了特征标三元组的诱导子映射,描述了该映射的像,建立了三元组的诱导子集合与其覆盖子的诱导子集合之间的一个双射,并考察了该映射所保持的若干基本性质,推广了关于特征标三元组的诱导子的若干已知结果。We study the correspondence between the inductors and restrictors of character triples, and introduce the inductor maps of character triples. The images of inductor maps are described, and a bijection between the set of inductors and the set of inductors of covering subtriples is established. Some basic properties of the map are investigated, and we generalize some known results about the inductors.

关 键 词：特征标三元组 诱导子 限制子 覆盖子 诱导子映射 

分 类 号：O152.6[理学—数学]