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FINITE_GROUPS: 作品数：163被引量：161H指数：7; 导出分析报告; 相关作者：王丽芳张勤海冯衍全朱静萍梁茂辉更多>>; 相关机构：中国科学技术大学华中师范大学中山大学山西师范大学更多>>; 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：国家自然科学基金广东省自然科学基金国家教育部博士点基金广西壮族自治区自然科学基金更多>>

Finite Groups with Some Bounded Codegrees: 《Acta Mathematica Sinica,English Series》2024年第7期1778-1784,共7页Dong Fang YANG Yu ZENG Heng LV; Supported by the National Natural Science Foundation of China(Grant Nos.11971391,12071376,12301018,12171058,12326356);the Natural Science Foundation of Jiangsu Province(Grant No.BK20231356);the Natural Science Foundation for the Universities in Jiangsu Province(Grant No.23KJB110002);The first and second authors are supported by the Chinese Scholarship Council。; For a characterχof a finite group G,the number cod(χ) := ∣G:ker(χ)∣/χ(1)is called the codegree ofχ.In this paper,we give a solvability criterion for a finite group G depending on the minimum of the ratioχ(1)^(...; 关键词：Finite group codegree DEGREE simple group

On Distance Laplacian Spectra of Certain Finite Groups: 《Acta Mathematica Sinica,English Series》2023年第4期603-617,共15页Bilal Ahmad RATHER Shariefuddin PIRZADA Guo Fei ZHOU; Supported by SERB-DST,New Delhi,under the research project number MTR/2017/000084;the third author is supported by NSFC (Grant Nos.11931006 and 11971011)。; 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≤n.In this ...; 关键词：Laplacian matrix distance Laplacian matrix finite groups power graphs

On Finite Groups that are the Product of Two Subnormal Supersoluble Subgroups: 《Acta Mathematica Sinica,English Series》2023年第1期30-36,共7页John COSSEY Yang Ming LI; supported by the project of NSF of China(Grant No.12071092);the major project of Basic and Applied Research(Natural Science)in Guangdong Province,China(Grant No.2017KZDXM058);the Science and Technology Program of Guangzhou Municipality,China(Grant No.201804010088)。; Denote the class of finite groups that are the product of two normal supersoluble subgroups and the class of groups that are the product of two subnormal supersoluble subgroups by B_(1)and B_(2),respectively.In this p...; 关键词：Finite group supersoluble group normal subgroup subnormal subgroup product of subgroups

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

Local Covering Subgroups in Finite Groups: 《Acta Mathematica Sinica,English Series》2021年第5期768-774,共7页Guo Hua QIAN; Supported by the NSF of China(Grant No.11871011)。; A subgroup A of a finite group G is called a local covering subgroup of G if A^(G)=AB for all maximal G-invariant subgroup B of A^(G)=(A^(G),g∈G).Let p be a prime and d be a positive integer.Assume that all subgroups...; 关键词：Finite group local covering subgroup p-supersolvable group

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

Association Schemes with at Most Two Nonlinear Irreducible Characters and Applications to Finite Groups: 《Acta Mathematica Sinica,English Series》2019年第4期481-493,共13页Javad BAGHERIAN; An irreducible character χ of an association scheme is called nonlinear if the multiplicity of χ is greater than 1. The main result of this paper gives a characterization of commutative association schemes with at m...; 关键词：Association SCHEME character finite group group-like SCHEME MULTIPLICITY NONLINEAR

On σ-semipermutable Subgroups of Finite Groups被引量：2: 《Acta Mathematica Sinica,English Series》2018年第9期1379-1390,共12页Wen Bin GUO Alexander N. SKIBA; Supported by NNSF(Grant No.11771409);Wu Wen-Tsun Key Laboratory of Mathematics of Chinese Academy of Sciences; Let a = {σi｜ i ∈ I} be some partition of the set of all primes P, G a finite group and σ（G） = {σi｜σi ∩ π （G） ≠ Ф}. A set H of subgroups of G is said to be a complete Hall or-set of G if every member ≠...; 关键词：Finite group Hall subgroup p-soluble group p-supersoluble group σ-semipermutable subgroup

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

Special Blocks of Finite Groups: 《Acta Mathematica Sinica,English Series》2016年第1期115-123,共9页Ji Ping ZHANG; Supported by NSFC(Grant Nos.11131001,11201008); 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 eithe...; 关键词：Finite groups REPRESENTATIONS BLOCKS defect groups

FINITE_GROUPS