检索结果-南通市图书馆

On Existence of Hall Subgroups in finite groups

在线全文

学校读者我要写书评

暂无评论

Algebra Colloquium 2017年第1期24卷 75-82页

作者： Yufeng Liu Wenbin Guo N. Skiba School of Mathematics and Informational ScienceShandong Institute of Business and Technology Yantai Shandong 264005 China School of Mathematical Sciences University of Science and Technology of ChinaHefei 230026 China Department of Mathematics Gomel State University of F. Skorina Gomel 246028 Belarus

In this paper, we give some new conditions of the existence of Hall subgroups in non-soluble finite groups, and so the famous Hall theorem and Schur-Zassenhaus theorem are generalized.

关键词： finite groups non-soluble groups Hall subgroups

Criteria of Existence of Hall Subgroups in Non-soluble finite groups

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2010年第2期26卷 295-304页

作者： Wen Bin GUO A. N. SKIBA Department of Mathematics Xuzhou Normal University Xuzhou 221116 P. R. China Department of Mathematics Francisk Skorina Gomel State University Gomel 246019 Belarus

In this paper, the famous Hall theorem and the famous Schur-Zassenhaus theorem are generalized.

关键词： finite groups non-soluble groups Hall subgroups

On Distance Laplacian Spectra of Certain finite groups

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2023年第4期39卷 603-617页

作者： Bilal Ahmad RATHER Shariefuddin PIRZADA Guo Fei ZHOU Department of Mathematics University of KashmirSrinagarIndia Department of Mathematics Nanjing UniversityNanjing 210093P.R.China

For a finite group G,the power graph P(G)is a simple connected graph whose vertex set is the set of elements of G and two distinct vertices x and y are adjacent if and only if x^(i)=y or y^(i)=x,for 2≤i,j≤*** this paper,we obtain the distance Laplacian spectrum of power graphs of finite groups such as cyclic groups,dihedral groups,dicyclic groups,abelian groups and elementary abelian p ***,we find the largest and second smallest distance Laplacian eigenvalue of power graphs of such groups.

关键词： Laplacian matrix distance Laplacian matrix finite groups power graphs

Special Blocks of finite groups

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2016年第1期32卷 115-123页

作者： Ji Ping ZHANG Beijing International Center for Mathematical Research Lmam School of Mathematical SciencesPeking University

We first determine in this paper the structure of the generalized Fitting subgroup F＊（G） of the finite groups G all of whose defect groups （of blocks） are conjugate under the automorphism group Aut（G） to either a Sylow p-subgroup or a fixed p-subgroup of G. Then we prove that if a finite group L acts transitively on the set of its proper Sylow p-intersections, then either L/Op（L） has a T.I. Sylow p-subgroup or p = 2 and the normal closure of a Sylow 2-subgroup of L/O2（L） is 2-nilpotent with completely descripted structure. This solves a long-open problem. We also obtain some generalizations of the classic results by Isaacs and Passman on half-transitivity.

关键词： finite groups representations blocks defect groups

在线全文

学校读者我要写书评

暂无评论

Algebra Colloquium 2020年第2期27卷 193-198页

作者： S.M.Robati Department of Mathematics Faculty of Science Imam Khomeini International UniversityQazvinIran

Let G be a group,and let →/ΓC(G) be a digraph whose vertices are the nontrivial conjugacy classes of G and there is an arc from a vertex C to a vertex C' if and only if C≠C' and(C)■(C').In this paper,we characteri... 详细信息

关键词： conjugacy classes posets graphs finite groups

ON F-z-SUPPLEMENTED SUBgroups OF finite groups

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2011年第1期31卷 22-28页

作者：郭文彬唐娜李保军 Department of Mathematics University of Science and Technology of China Department of Mathematics Xuzhou Normal University Department of Mathematics Huaiyin Teachers College School of Mathematics Chengdu University of Information Technology

A subgroup H of a group G is called F-z-supplemented in G if there exists a subgroup K of G, such that G = HK and H∩K≤ Z∞F（G）, where Z∞F（G） is the F-hypercenter of G. We obtain some results about the F-z-suppl... 详细信息

关键词： finite groups local formations F-z-supplemented subgroups supersoluble groups p-nilpotent groups

finite groups With Small Automizers for Their Nonabelian Subgroups

在线全文

学校读者我要写书评

暂无评论

数学进展 1998年第4期27卷 86-87页

作者：吕克伟北京大学数学系北京

Ｔｈｒｏｕｇｈｏｕｔｔｈｉｓｐａｐｅｒ，Ｇｉｓａｆｉｎｉｔｅｇｒｏｕｐ．ＳｅｔＡｕｔＧ（Ｈ）＝ＮＧ（Ｈ）／ＣＧ（Ｈ）ｆｏｒＨ≤Ｇ．Ｉｎ［ＤＭ］，ａｕｔｈｏｒｓｇａｖｅｔｈｅｆｏｌｏｗｉｎｇｄｅｆｉｎｉｔｉｏｎｓ：（１... 详细信息

Ｔｈｒｏｕｇｈｏｕｔｔｈｉｓｐａｐｅｒ，Ｇｉｓａｆｉｎｉｔｅｇｒｏｕｐ．ＳｅｔＡｕｔＧ（Ｈ）＝ＮＧ（Ｈ）／ＣＧ（Ｈ）ｆｏｒＨ≤Ｇ．Ｉｎ［ＤＭ］，ａｕｔｈｏｒｓｇａｖｅｔｈｅｆｏｌｏｗｉｎｇｄｅｆｉｎｉｔｉｏｎｓ：（１）ＬｅｔＨ≤Ｇ，ＡｕｔＧ（Ｈ）＝Ｎ...

关键词： finite groups With Small Automizers Their Nonabelian Subgroups

finite groups Whose Nontrivial Normal Subgroups Have Order Two

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Journal of Mathematical Research and Exposition 2011年第4期31卷 675-680页

作者： Shou Hong QIAO Da Chang GUO School of Applied Mathematics Guangdong University of Technology Guangdong 510006 P. R. China

In this paper, we investigate the structure of the groups whose nontrivial normal subgroups have order two. Some properties of this kind of groups are obtained.

关键词： finite groups normal subgroups soluble groups insoluble groups simple groups

The influence of s-conditionally permutable subgroups on finite groups

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2009年第2期52卷 301-310页

作者： LI BaoJun ZHANG ZhiRang School of Mathematics Chengdu University of Information TechnologyChengdu 610225China

A subgroup H of a group G is called s-conditionally permutable in G if for every Sylow subgroup T of G there exists an element x ∈ G such that HTx = TxH. Using the concept of s-conditionally permutable subgroups, som... 详细信息

关键词： s-conditionally permutable subgroups supersoluble groups finite groups saturated formations 20D10