On p-Central Automorphisms of Primitive Groups and Applications  

作　　者：Shenjuan DONG Zhengxing LI 

机构地区：[1]School of Mathematics and Statistics, Qingdao University [2]Institute of Applied Mathematics of Shandong

出　　处：《Journal of Mathematical Research with Applications》2019年第1期23-30,共8页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.71571108);Projects of International(Regional)Cooperation and Exchanges of NSFC(Grant Nos.71611530712; 61661136002);Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.20133706110002);Natural Science Foundation of Shandong Province(Grant No.ZR2015GZ007);Project Funded by China Postdoctoral Science Foundation(Grant No.2016M590613);the Specialized Fund for the Postdoctoral Innovative Research Program of Shandong Province(Grant No.201602035)

摘　　要：Let G be a primitive group. It is proved that there exits some prime p such that every p-central automorphism of G is inner. As an application, it is proved that every Coleman automorphism of the holomorph of G is inner. In particular, the normalizer property holds for such groups in question. Additionally, other related results are obtained as well.Let G be a primitive group. It is proved that there exits some prime p such that every p-central automorphism of G is inner. As an application, it is proved that every Coleman automorphism of the holomorph of G is inner. In particular, the normalizer property holds for such groups in question. Additionally, other related results are obtained as well.

关 键 词：p-central AUTOMORPHISM COLEMAN AUTOMORPHISM the NORMALIZER conjecture 

分 类 号：O1[理学—数学]