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New Criteria for Quasi-F-Groups被引量：2
《Communications in Mathematics and Statistics》2019年第1期25-32,共8页Juping Tang Jia Zhang Long Miao 
supported by the grant of NSFC(Grant#11701223,11271016,11501235);the Key Natural Science Foundation of Anhui Education Commission(KJ2017A569);Research project of China West Normal University(17E091).
Let G be a finite group and F a saturated formation of finite groups.Then G is a quasi-F-group if for every F-eccentric chief factor H/K of G and every x∈G,x induces an inner automorphism on H/K.In this article,we ob...
关键词：Quasi-F-groups Sylow subgroups M-supplemented subgroups Solubly saturated formation 
Finite 2-Groups Whose Number of Subgroups of Each Order are at Most 2^(4)被引量：1
《Communications in Mathematics and Statistics》2018年第2期207-226,共20页Lifang Wang 
supported by NSFC(Nos.11471198 and 11771258).
Assume G is a group of order 2^(n),n≥5.Let s_(k)(G)denote the number of subgroups of order 2^(k) of G.We classify finite 2-groups G with s k(G)≤2^(4),where 1≤k≤n.
关键词：Minimal nonabelian p-groups Subgroup’s enumeration Central extension 
The Structure of a Finite Group Which is the Product of Two Subgroups with Some Subnormal Subgroups
《Communications in Mathematics and Statistics》2017年第4期399-405,共7页Xinjian Zhang Yong Xu 
supported by National Natural Science Foundation of China(Grant Nos.11501235,11601225,11171243);Natural Science Foundation of Jiangsu Province(No.BK20140451).
Let G be a group and G=G_(1)G_(2) where G_(i) are subgroups of G.In this paper,we investigate the structure of G under the conditions that some subgroups of G_(i) are subnormal in G.
关键词：Subnormal subgroup Nilpotent group Solvable group 
How does Diagonal Subgroup Embedding Determine the Structure of a Group?被引量：2
《Communications in Mathematics and Statistics》2016年第4期423-433,共11页Shouhong Qiao Guohua Qian Yanming Wang 
the NSF of China(Nos.11201082,11471054,11671063),the NSF of Jiangsu Province(No.BK20161265);Cultivation Program for Outstanding Young College Teachersof Guangdong Province(Yq2013061).
Let G be a finite group.Let D={(g,g)|g∈C},the main diagonalsubgroup of G x G.In this paper,we consider the suitable generalized normalities orindex of D in G x G,some interesting results are obtained.
关键词：Main diagonal subgroups Abelian groups Nilpotent groups Supersoluble groups Soluble groups 
On m-Embedded Primary Subgroups of Finite Groups被引量：1
《Communications in Mathematics and Statistics》2016年第4期449-458,共10页Jia Zhang Long Miao Baojun Li 
NSFC(Grant#11271016)and NSFC(Grant#11471055)and Qing Lan project of Jiangsu Province and High-level personnel of support program of Yangzhou University and 333 high-level personnel training project in Jiangsu Province.
Suppose that A is a subgroup of a group G.A is called to be m-embeddedin G if G has a subnormal subgroup T and a{1
关键词：m-Embedded subgroup Sylow subgroup p-Supersolvability Generalized hypercentre 
The Symmetric Commutator Homology of Link Towers and Homotopy Groups of 3-Manifolds
《Communications in Mathematics and Statistics》2015年第4期497-526,共30页Fuquan Fang Fengchun Lei Jie Wu 
The authors would like to thank Joan Birman and Haynes Miller for their encouragements and helpful suggestions on this project.Fuquan Fang and Fengchun Lei supported in part by a Key Grant(No.11431009);an Overseas-Collaboration Grant(No.11329101)of NSFC of China;Research is supported by the Singapore Ministry of Education research Grant(AcRF Tier 1 WBS No.R-146-000-190-112)and a Grant(No.11329101)of NSFC of China.
A link tower is a sequence of links with the structure given by removing the last components.Given a link tower,we prove that there is a chain complex consisting of(non-abelian)groups given by the symmetric commutator...
关键词：Homotopy groups Link groups Symmetric commutator subgroups Intersection subgroups Link invariants Brunnian-type links Strongly non-splittable links 
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 
Finite p-Groups all of Whose Subgroups of Index p^(3) are Abelian被引量：10
《Communications in Mathematics and Statistics》2015年第1期69-162,共94页Qinhai Zhang Libo Zhao Miaomiao Li Yiqun Shen 
This work was supported by NSFC(Nos.11371232,11471198);by NSF of Shanxi Province(No.2013011001).
Suppose that G is a finite p-group.If all subgroups of index p^(t)of G are abelian and at least one subgroup of index p^(t−1)of G is not abelian,then G is called an A_(t)-group.We useA0-group to denote an abelian grou...
关键词：Finite p-groups Minimal non-abelian p-groups A_(t)-groups 
On Boundary Factors and Traces of Subgroups of Finite Groups被引量：7
《Communications in Mathematics and Statistics》2014年第3期349-361,共13页W.Guo Alexander N.Skiba X.Tang 
Research of the first author is supported by aNNSFgrant ofChina(Grant#11371335);WuWen-Tsun Key Laboratory of Mathematics,USTC,Chinese Academy of Sciences.Research of the second author supported by Chinese Academy of Sciences Visiting Professorship for Senior International Scientists(Grant No.2010T2J12).
A subgroup E of a finite group G is called hypercyclically embedded in G if every chief factor of G below E is cyclic.Let A be a subgroup of a group G.Then we call any chief factor H/AG of G a G-boundary factor of A.F...
关键词：Finite group Hypercyclically embedded subgroup G-boundary factor G-trace of subgroup Meet-irreducible subgroup 
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