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NORMALIZER: 作品数：18被引量：24H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关作者：刘燕俊更多>>; 相关机构：首都师范大学更多>>; 相关期刊：《Journal of Mathematical Research with Applications》《Science China Mathematics》《Algebra Colloquium》《Wuhan University Journal of Natural Sciences》更多>>; 相关基金：国家自然科学基金山东省自然科学基金中国博士后科学基金国家教育部博士点基金更多>>

Finite Groups with p-Supersolvable Normalizers of p-Subgroups被引量：2: 《Journal of Mathematical Research with Applications》2022年第5期476-480,共5页Tingting QIU Jinlian WU Jia ZHANG; Supported by the National Natural Science Foundation of China(Grant No.12001436);the Natural Science Foundation of Sichuan Province(Grant No.2022NSFSC1843);Chunhui Plan Cooperative Scientific Research Project of Ministry of Education of the People’s Republic of China;the Fundamental Research Funds of China West Normal University(Grant Nos.17E091;18B032);。; In the literature, p-nilpotency of the normalizers of p-subgroups has an important influence on finite p-nilpotent groups. In this paper, we extend the p-nilpotency to psupersolvability and choose every normal p-subgr...; 关键词：NORMALIZER weakly M-supplemented subgroup p-supersolvability p-nilpotency

Coleman Automorphisms of Extensions of Finite Characteristically Simple Groups by Some Finite Groups: 《Algebra Colloquium》2021年第4期561-568,共8页Jinke Hai Lele Zhao; supported by the National Natural Science Foundation of China(Grant No.11871292).; Let G be an extension of a finite characteristically simple group by an abelian group or a finite simple group.It is shown that every Coleman automorphism of G is an inner automorphism.Interest in such automorphisms a...; 关键词：characteristically simple group Coleman automorphism normalizer property

The Normalizer Property for Finite GroupsWhose Sylow 2-Subgroups are Abelian: 《Communications in Mathematics and Statistics》2021年第1期87-99,共13页Tao Zheng Xiuyun Guo; The research of the work was partially supported by the National Natural Science Foundation of China(11771271).; In this paper we mainly investigate the Coleman automorphisms and class-preserving automorphisms of finite AZ-groups and finite groups related to AZ-groups.For example,we first prove that Outc(G)of an AZ-group G must ...; 关键词：Class-preserving automorphism Coleman automorphism Normalizer property AZ-group

Finite NPDM-groups: 《Acta Mathematica Sinica,English Series》2021年第2期306-314,共9页Jian Ji CAO Xiu Yun GUO; Supported by the Doctoral Scientific Research Foundation of Shanxi University of Finance and Economics(Grant No.Z18207);the National Natural Science Foundation of China(Grant Nos.11771271,11801334);the China Scholarship Council Foundation(Grant No.201908140049)。; In this paper the classification is given for finite groups in which the normalizer of every non-normal cyclic subgroup of order divided by the minimal prime of |G| is a maximal subgroup.; 关键词：NORMALIZER cyclic subgroup maximal subgroup

The Normalizer Property for Integral Group Rings of Holomorphs of Finite Groups with Trivial Center: 《Acta Mathematica Sinica,English Series》2020年第4期401-406,共6页Jin Ke HAI Yi Xin ZHU; Supported by the National Natural Science Foundation of China(Grant No.11871292)。; Let G=Hol(H)be the holomorph of a finite group H.If there is a prime q dividing|H|such that every q-central automorphism of H is inner and Z(H)=1,then every Coleman automorphism of G is inner.In particular,the normali...; 关键词：Coleman automorphisms characteristically simple group normalizer property

On Splitting of the Normalizer of a Maximal Torus in E6(q): 《Algebra Colloquium》2019年第2期329-350,共22页Alexey Galt Alexey Staroletov; Russian Science Foundation (project no. 14-21-00065).; Let G be a finite group of Lie type E6 over Fq (adjoint or simply connected) and W be the Weyl group of G. We describe maximal tori T such that T has a complement in its algebraic normalizer N(G, T). It is well known ...; 关键词：finite group of LIE type MAXIMAL TORUS ALGEBRAIC NORMALIZER split extension

On p-Central Automorphisms of Primitive Groups and Applications被引量：1: 《Journal of Mathematical Research with Applications》2019年第1期23-30,共8页Shenjuan DONG Zhengxing LI; 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); 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 inn...; 关键词：p-central AUTOMORPHISM COLEMAN AUTOMORPHISM the NORMALIZER conjecture

On Coleman Automorphisms of Extensions of Finite Quasinilpotent Groups by Some Groups被引量：5: 《Algebra Colloquium》2018年第2期181-188,共8页Jinke Hai Yixin Zhu; Let G be an extension of a finite quasinilpotent group by a finite group. It is shown that under some conditions every Coleman automorphism of G is an inner automorphism. The interest in such automorphisms arose from ...; 关键词：semidirect product Coleman automorphisms normalizer property

On Coleman Automorphisms of Finite Nilpotent Groups by Cyclic Groups被引量：2: 《Acta Mathematica Sinica,English Series》2016年第12期1459-1464,共6页Jin Ke HAI Sheng Bo GE; Supported by National Natural Science Foundation of China(Grant No.11171169); Let G be a finite group and let N be a nilpotent normal subgroup of G such that G/N is cyclic. It is shown that under some conditions all Coleman automorphisms of G are inner. Interest in such automorphisms arose from...; 关键词：Coleman automorphism the normalizer property nilpotent group

A Solvability Criterion for Finite Groups: 《Acta Mathematica Sinica,English Series》2016年第8期982-992,共11页Guo Hua QIAN Tian Ze LI; supported by NSFC(Grant No.11471054);supported by NSFC(Grant No.11101055); We show that if for every prime p, the normalizer of a Sylow p-subgroup of a finite group G admits a p-solvable supplement, then G is solvable. This generalizes a solvability criterion of Hall which asserts that a fin...; 关键词：Finite group solvable group Sylow normalizer SUPPLEMENT

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