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Engel Condition and p-nilpotency of Finite Groups: 《Acta Mathematica Sinica,English Series》2021年第9期1465-1470,共6页Lei WANG Zheng Tian QIU Shou Hong QIAO; the support from NSF of China(Grant No.12061083);EDF of Yunnan Province(Grant No.2019J0026);NSF of Yunnan Province(Grant No.202101AT070023);the support from NSF of China(Grants Nos.12071093,12026212);NSF of Guangdong Province(Grant No.2021A1515010217)。; Let G be a finite group,and let P be a Sylow p-subgroup of G.Under the hypothesis that NG(P)is p-nilpotent,we provide some conditions to give a p-nilpotency criterion of finite groups by Engel condition,which improves...; 关键词：Finite group p-nilpotency Engel condition p-nilpotent residual

A Criterion on the Finite p-Nilpotent Groups被引量：4: 《Journal of Mathematical Research with Applications》2019年第3期254-258,共5页Xiangyang XU Yangming LI; Supported by the National Natural Science Foundation of China(Grant No.11271085);the Major Projects in Basic Research and Applied Research(Natural Science)of Guangdong Province(Grant No.2017KZDXM058);Funds of Guangzhou Science and Technology(Grant No.201804010088);the Science and Technology Research Foundation of Education Department of Jiangxi Province(Grant No.GJJ171109); Let G be a finite group. Suppose that H is a subgroup of G. We say that H is s-semipermutable in G if HG_p = G_p H for any Sylow p-subgroup G_p of G with(p, |H|) = 1,where p is a prime dividing the order of G. We give...; 关键词：P-NILPOTENT GROUP k-th CENTER of a GROUP s-semipermutable SUBGROUP

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

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

A Note on s-quasinormally Embedded and c-supplemented Subgroups of Finite Groups被引量：3: 《Chinese Quarterly Journal of Mathematics》2012年第2期213-217,共5页LI Chang-wen HU Bin; Foundation item： Supported by the National Nature Science Foundation of China（11071229）; Supported by the Natural Science Foundation of the Jiangsu Higher Education Institutions（10KJD110004）; In this paper the influence of s-quasinormally embedded and c-supplemented subgroups on the p-nilpotency of finite groups is investigate and some recent results are generalized.; 关键词：s-quasinormally embedded c-supplemented P-NILPOTENT

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

On Restricted Lie Superalgebras with Semisimple Elements: 《Northeastern Mathematical Journal》2005年第3期283-293,共11页陈良云孟道骥; The Youth Science Foundation of Northeast Normal University (111494027) and the NNSF (10271076) of China.; In the present paper, we give some sufficient conditions for the commutativity of restricted Lie superalgebras and characterize some properties of restricted Lie superalgebras with semisimple elements.; 关键词：restricted Lie superalgebra p-semilinear mapping nonsingular map-ping semisimple element p-nilpotent element

On p-nilpotency and minimal subgroups of finite groups被引量：2: 《Science China Mathematics》2003年第2期176-186,共11页郭秀云 K.P.Shum; This work was supported by a research grant of Shanxi Province for the first author and partially supported by a fund of UGC(HK) for the second author (Grant No. 2160126, 1999/2000).; We call a subgroup H of a finite group G c-supplemented in G if there exists a subgroup K ofG such that G = HK and H ∩K ≤ core(H). In this paper it is proved that a finite group G is p-nilpotentif G is S4-free and e...; 关键词：P-NILPOTENT groups MINIMAL subgroups formation.

C_p-Groups and Some Results on the p-nilpotency: 《Chinese Quarterly Journal of Mathematics》1996年第3期44-49,共6页赵耀庆韦革李世余; This research was supported by National Natural Scicnce Foundation of China and Foundation of Guangxi Education Committee; Let P∈SylpG,ch(P) be any characteristic subgroup of P. A group C is called a Cp-group if G satisfies the condition 'NG(ch(P)) is p-nilpotent implies that G is p-nilpotent'. In this paper some properties on Gp-groups ...; 关键词：P-NILPOTENT Cp-groups quasi-inner Cp-groups

Homotopy epimorphisms preserve nilpotency: 《Chinese Science Bulletin》1996年第4期287-290,共4页林红沈文淮左再思; National Natural Science Foundation of China.; Recall that f: X→Y is a homotopy epimorphism (monomorphism) if given u, v: Y→W(u, v:W→X), u(?)of(?)v(?)f implies u(?)v(f(?)u(?)f(?)v implies u(?)v). In ref. [1], Lin and Shen; 关键词：homotopy-epimorphism homotopy-monomorphism nilpotent SPACE P-NILPOTENT space.

P-NILPOTENT