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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>>

Adjacency Spectrum of Reduced Power Graphs of Finite Groups: 《Algebra Colloquium》2024年第4期661-674,共14页R.Rajkumar T.Anitha; The reduced power graph of a group G,denoted by RP(G),is the graph whose vertex set is the set of all elements of G and two vertices u and u are adjacent in RP(G)if and only if(u)C(u)or(u)C(u).In this paper,we study t...; 关键词：reduced power graph finite group adjacency spectrum

On σ-Solubility Criteria for Finite Groups: 《Communications in Mathematics and Statistics》2024年第3期563-571,共9页A.Ballester-Bolinches S.F.Kamornikov V.Pérez-Calabuig V.N.Tyutyanov; supported by the Grant PGC2018-095140-B-I00,funded by MCIN/AEI/10.13039/501100011033;supported by Grant PROMETEO/2017/057 funded by GVA/10.13039/501100003359;supported by Ministry of Education of the Republic of Belarus(Grant 20211779“Convergence-2025”);supported by the Belarusian Republican Foundation for Fundamental Research(Grant F20R-291).; In this paper,the structure of finite groups in whichmaximal subgroups of some Sylow subgroups have aσ-soluble orσ-nilpotent supplement,whereσis a partition of the set of all prime numbers,is investigated.Some solu...; 关键词：Finite group Supplementation σ-Solubility σ-Nilpotency

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

Finite Groups with Some Self-Conjugate-Permutable Subgroups: 《Journal of Mathematical Research with Applications》2024年第2期199-208,共10页Wanlin WANG Pengfei GUO; Supported by the National Natural Science Foundation of China(Grant No.12061030);the Natural Science Foundation of Hainan Province(Grant No.122RC652).; A subgroup H of a group G is said to be self-conjugate-permutable if HHx=H xH implies H^(x)=H for any x of G.A finite group G is called an SC-group(P SC-group,respectively)if all cyclic subgroups of G of order 2 or or...; 关键词：SC-group P SC-group self-conjugate-permutable subgroup maximal subgroup

Second Maximal Invariant Subgroups and Solubility of Finite Groups: 《Communications in Mathematics and Statistics》2024年第1期45-54,共10页Changguo Shao Antonio Beltrán; Let G be a finite group and assume that a group of automorphisms A is acting on G such that A and G have coprime orders.We prove that the fact of imposing specific properties on the second maximal A-invariant subgroup...; 关键词：Invariant subgroups Coprime action Second maximal subgroup Trivial intersection subgroup

Determining Sets and Determining Numbers of Finite Groups: 《Algebra Colloquium》2024年第1期111-128,共18页Dengyin Wang Chi Zhang Haipeng Qu; supported by the National Natural Science Foundation of China(11971474,12371025);supported by the National Natural Science Foundation of China(12271318).; A subset D of a group G is a determining set of G if every automorphism of G is uniquely determined by its action on D,and the determining number of G,a(G),is the cardinality of a smallest determining set.A group G is...; 关键词：determining number AUTOMORPHISMS nilpotent groups

Finite Groups and the Sum of Orders of Their Subgroups: 《Journal of Mathematical Study》2023年第4期340-344,共5页Jiakuan Lu Meiqun Kuang Kaixun Wu Boru Zhang; supported by the National Natural Science Foundation of China(Grant No.11861015);the Guangxi Natural Science Foundation Program(Grant No.2020GXNSFAA238045);the Training Program for One Thousands Young and Middle-aged Cadre Teachers in Universities of Guangxi Province;supported by the Guangxi Basic Ability Promotion Project for Young and Middle-aged Teachers(Grant No.2020KY02019).; Let G be a finite group andσ_(1)(G)=1/|G|∑_(H≤G)|H|.In this paper,we prove that if G is a nonsolvable group andσ_(1)(G)=117/20,then G=A_(5).; 关键词：Finite groups Solvable groups subgroup orders

Finite Groups Isospectral to Simple Groups: 《Communications in Mathematics and Statistics》2023年第2期169-194,共26页Maria A.Grechkoseeva Victor D.Mazurov Wujie Shi Andrey V.Vasil’ev Nanying Yang; supported by Foreign Experts program in Jiangsu Province(No.JSB2018014);supported by the National Natural Science Foundation of China(No.12171126);supported by the RFBR(No.20-51-00007);supported by the National Natural Science Foundation of China(11171364,11671063).; The spectrum of a finite group is the set of element orders of this group.The main goal of this paper is to survey results concerning recognition of finite simple groups by spectrum,in particular,to list all finite si...; 关键词：Finite group Simple group Element order SPECTRUM Recognition by spectrum

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

Finite Groups in Which Every Maximal Subgroup Is Nilpotent or a TI-Subgroup or Has Order p'被引量：1: 《Algebra Colloquium》2023年第1期165-168,共4页Jiangtao Shi; supported by Shandong Provincial Natural Science Foundation,Chin(ZR2017MA022 and ZR2020MA044)and NSFC(11761079).; We obtain a complete characterization of the structure of a finite group G in which every maximal subgroup is nilpotent or a TI-subgroup or has order p'for any fixed prime divisor p of|G|.Moreover,we show that there e...; 关键词：maximal subgroup NILPOTENT TI-subgroup p'-order

FINITE_GROUPS