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SUPERSOLVABLE: 作品数：11被引量：26H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关作者：王坤仁更多>>; 相关机构：四川师范大学更多>>; 相关期刊：《Communications in Mathematical Research》《Acta Mathematica Sinica,English Series》《Journal of Mathematical Research with Applications》《Science China Mathematics》更多>>; 相关基金：国家自然科学基金俄罗斯基础研究基金广西壮族自治区自然科学基金更多>>

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

Notes on Solvability and p-Supersolvability of Finite Groups被引量：1: 《Algebra Colloquium》2019年第1期139-146,共8页Jia Zhang Tingting Qiu Long Miao Juping Tang; Supported by the NSFC (Grants No. 11871062, 11701223 and 11501235);Natural Science Foundation of Jiangsu Province (Grant No. BK20181451);Key Natural Science Foundation of Anhui Education Commission (Grant No. KJ2017A569);Fundamentai Research Funds of China West Normal University (Grants No. 17E091 and 18B032).; A subgroup H of G is called M-supplemented in G if there exists a subgroup B of G such that G = HB and HiB < G for every maximal subgroup Hi of H. In this paper, we use M-suppiemented subgroups to study the structure ...; 关键词：M-supplemented SUBGROUP composition factor SOLVABLE p-supersolvable

On c#-normal subgroups in finite groups被引量：2: 《Frontiers of Mathematics in China》2018年第5期1169-1178,共10页Huaquan WEI Qiao DAI Hualian ZHANG Yubo LV Liying YANG; A subgroup H of a finite group G is called a c#-normal subgroup of G if there exists a normal subgroup K of G such that G = HK and H n K is a CAP-subgroup of G. In this paper, we investigate the influence of fewer c#-...; 关键词：Finite group c#-normal p-supersolvable P-NILPOTENT SUPERSOLVABLE

Finite Minimal Non-supersolvable Groups Decomposable into the Product of Two Normal Supersolvable Subgroups被引量：5: 《Communications in Mathematics and Statistics》2015年第2期285-290,共6页Wenbin Guo A.S.Kondrat’ev; Research of the first author is supported by a NNSF grant of China(Grant No.11371335);Wu Wen-Tsun Key Laboratory of Mathematics of Chinese Academy of Science.The second author was supported by the Russian Foundation for Basic Research(Project No.13-01-00469);the Complex Program of UB RAS(Project 15-16-1-5);under the Agreement 02.A03.21.0006 of 27.08.2013 between the Ministry of Education and Science of the Russian Federation and Ural Federal University.; In this paper,we determine the finite minimal non-supersolvable groups decomposable into the product of two normal supersolvable subgroups.; 关键词：Finite group Supersolvable group Minimal non-supersolvable group Minimal non-p-supersolvable group

The Supersolvable Order of Hyperplanes of an Arrangement被引量：4: 《Communications in Mathematical Research》2013年第3期231-238,共8页Gao Rui-mei Pei Dong-he Du Xian-kun; The NSF (10871035) of China; This paper mainly gives a sufficient and necessary condition for an order of hyperplanes of a graphic arrangement being supersolvable. In addition, we give the relations between the set of supersolvable orders of hype...; 关键词：quadratic arrangement graphic arrangement supersolvable order of hyperplane quadratic order of hyperplane supersolvable order of vertices

c^＊-Quasinormally embedded subgroups of finite groups被引量：1: 《Frontiers of Mathematics in China》2012年第4期703-716,共14页Changwen LI Jianhong HUANG Bin HU; This work was supported in part by the National Natural Science Foundation of China （Grant No. 11071229） and the Natural Science Foundation the Jiangsu Higher Education Institutions （Grant No. J0KJD110004）.; Suppose that G is a finite group and H is a subgroup of G. H is said to be s-quasinormally embedded in G if for each prime p dividing │H│, a Sylow p-subgroup of H is also a Sylow p-subgroup of some s-quasinormal sub...; 关键词：c^＊-Quasinormally embedded subgroup P-NILPOTENT SUPERSOLVABLE Sylow subgroup

Onc*-Normal Subgroups in Finite Groups被引量：1: 《Acta Mathematica Sinica,English Series》2012年第3期623-630,共8页Hua Quan WEI Wei Ping GU Hong Fei PAN; Supported by National Natural Science Foundation of China (Grant Nos. 10961007, 10871210);Natural Science Foundation of Guangxi Province (Grant No. 0991101);Guangxi Education Department; A subgroup H of a finitegroup G is called a c＊-normal subgroup of G if there exists a; 关键词：c＊-Normal S-quasinormally embedded P-NILPOTENT p-supersolvable

Minimal inner-Σ-Ω-groups and their applications: 《Science China Mathematics》2011年第9期1927-1936,共10页LI XianHua XU Yong; supported by National Natural Science Foundation of China (Grant No.10871032);the Natural Science Foundation of Jiangsu Province (Grant No. BK2008156); We introduce and study the minimal inner-Σ-Ω-groups and the minimal outer-Σ-■-groups.Then we give some applications and obtain some interesting results,including characterizations of nilpotent,supersolvable,solvab...; 关键词：nilpotent subgroup supersolvable subgroup a pair of conjugate subgroups minimal inner-∑-Ω- group

On Pronormal Minimal Subgroups of Finite Groups: 《Journal of Mathematical Research and Exposition》2004年第2期214-218,共5页王坤仁; By using pronormal minimal subgroups and weak left Engel elements ofprime order of the normalizers of Sylow subgroups of a finite group G, we obtain somesufficient conditions for G to be p-nilpotent, nilpotent and sup...; 关键词：minimal subgroup weak left Engel element ρ-nilpotent SUPERSOLVABLE

Finite Group with Two Supersolvable Subgroups of Coprime Indices被引量：2: 《Northeastern Mathematical Journal》2001年第2期221-225,共5页王坤仁; In this paper, we obtain some classification theorems of finite simple groups with two subgroups of coprime indices which are both supersolvable or one supersolvable and the other nilpotent. Using these classification...; 关键词：solvable group supersolvable group simple group INDEX

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