Regular and p-Regular Orbits of Solvable Linear Groups,Ⅱ

作     者：Thomas Michael Keller Yong Yang Thomas Michael Keller;Yong Yang

作者机构：Department of MathematicsTexas State UniversitySan MarcosTX 78666USA College of ScienceChina Three Gorges University Three Gorges Mathematical Research CenterYichangHubei 443002China Department of MathematicsTexas State UniversitySan MarcosTX 78666USA 

出 版 物：《代数集刊:英文版》 (Algebra Colloquium)

年 卷 期：2023年第30卷第2期

页      面：301-304页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by NSFC(11671063) a grant from the Simons Foundation(#499532 to Yong Yang) a grant from the Simons Foundation(#280770 to Thomas M.Keller). 

主　　题：regular orbits solvable linear groups group action 

摘      要：Let V be a faithful G-module for a finite group G and let p be a prime dividing IG].An orbit yG for the action of G on V is regular if|v^(G)|=|G:C_(G)(v)]=|G|,and is p-regular if|v^(G)|_(p)=|G:C_(G)(v)|_(p)=|G|_(p).In this note,we study two questions,one by the authors and one by Isaacs,related to the p-regular orbits and regular orbits of the linear group actions.