On p-Central Automorphisms of Primitive Groups and Applications

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英文篇名：On p-Central Automorphisms of Primitive Groups and Applications 作者：Shenjuan ; DONG ; Zhengxing ; LI 英文作者：Shenjuan DONG;Zhengxing LI;School of Mathematics and Statistics, Qingdao University;Institute of Applied Mathematics of Shandong; 英文关键词：p-central automorphism;;Coleman automorphism;;the normalizer conjecture 中文刊名：SXYJ 英文刊名：数学研究及应用(英文版) 机构：School of Mathematics and Statistics, Qingdao University;Institute of Applied Mathematics of Shandong; 出版日期：2019-01-15 出版单位：Journal of Mathematical Research with Applications 年：2019 期：v.39;No.174 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) 语种：英文; 页：SXYJ201901004 页数：8 CN：01 ISSN：21-1579/O1 分类号：27-34

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.

引文

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