云南高校图书馆联盟文献共享服务平台- FINITE

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

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 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

Coleman Automorphisms of Extensions of Finite Characteristically Simple Groups by Some Finite Groups: 《Algebra Colloquium》2021年第4期561-568,共8页Jinke Hai Lele Zhao; supported by the National Natural Science Foundation of China(Grant No.11871292).; Let G be an extension of a finite characteristically simple group by an abelian group or a finite simple group.It is shown that every Coleman automorphism of G is an inner automorphism.Interest in such automorphisms a...; 关键词：characteristically simple group Coleman automorphism normalizer property

Finite Groups with Certain S-Permutable and GS-Maximal Subgroups: 《Algebra Colloquium》2020年第4期661-668,共8页A.M.Elkholy M.H.Abd-Ellatif; Let G be a finite group and H a subgroup of G.We say that H is S-permutable in G if H permutes with every Sylow subgroup of G.A group G is called a generalized smooth group(GS-group)if[G/L]is totally smooth for every ...; 关键词：smooth groups subgroup lattices S-permutability

On a Graph Related to Subgroups Generated by a Conjugacy Class in Finite Groups: 《Algebra Colloquium》2020年第2期193-198,共6页S.M.Robati; 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...; 关键词：conjugacy classes POSETS GRAPHS finite groups

Majorana Representations of Finite Groups: 《Algebra Colloquium》2020年第1期31-50,共20页Clara Franchi Alexander A.Ivanov Mario Mainardis; Supported by PRID MARFAP,University of Udine。; In this paper we give a brief overview of the theory of Majorana representations of finite groups.; 关键词：axial algebras Majorana representations Monster group Monster algebra association schemes

Integral Cayley Graphs over Finite Groups被引量：1: 《Algebra Colloquium》2020年第1期131-136,共6页Elena VKonstantinova Daria Lytkinat; The work was supported by the Program of Fundamental Scientific Research of the SB RAS N 1.5.1,project No.0314-2019-0016.; We prove that the spectrum of a Cayley graph over a finite group with a normal generating set S containing with every its element s all generators of the cyclic group(s)is integral.In particular,a Cayley graph of a 2-...; 关键词：Cayley graph symmetric group alternating group group algebra Star graph

Factorizations of Finite Groups and Related Topics: 《Algebra Colloquium》2020年第1期149-180,共32页Lev Kazarin; This is a survey on the recent progress in the theory of finite groups with factorizations and around it,done by the author and his coauthors,and this has no pretensions to cover all topics in this wide area of resear...; 关键词：finite groups products of groups conjugacy classes Sylow subgroups Lie type groups FACTORIZATIONS

On Nearly σ-Embedded Subgroups of Finite Groups: 《Algebra Colloquium》2019年第4期677-688,共12页Muhammad Tanveer Hussain Chenchen Cao Li Zhang AAIvanov; Let G be a finite group,σ={σi|i∈ I}be some partition of the set of all primes and σ(G)={(σi|σi∩ π(G)≠0}.We say that a subgroup H of G is nearly cr-cmbcdded in G if there exists a cr-permutable subgroup T of G...; 关键词：finite group cr-permutable subgroup cr-permutably embedded subgroup nearly cr-embedded subgroup supersoluble group

FINITE_GROUPS