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SUBGROUPS: 作品数：219被引量：316H指数：10; 导出分析报告; 相关领域：理学医药卫生更多>>; 相关作者：尹波陆逸平耿道颖王丽芳张勤海更多>>; 相关机构：中国科学技术大学复旦大学中山大学山西师范大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金广东省自然科学基金中国博士后科学基金国家重点基础研究发展计划更多>>

On Hom-groups and Hom-group Actions: 《Acta Mathematica Sinica,English Series》2023年第10期1887-1906,共20页Liang Yun CHEN Tian Qi FENG Yao MA Ripan SAHA Hong Yi ZHANG; Supported by NSF of Jilin Province(Grant No.YDZJ202201ZYTS589);NNSF of China(Grant Nos.12271085,12071405);the Fundamental Research Funds for the Central Universities。; A Hom-group is the non-associative generalization of a group whose associativity and unitality are twisted by a compatible bijective map.In this paper,we give some new examples of Hom-groups,and show the first,second ...; 关键词：Hom-groups Hom-subgroups Hom-quotient groups ISOMORPHISM Hom-group actions first Sylow theorem

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

Maximal Subgroups in the Classical Groups Normalizing Solvable Subgroups: 《Acta Mathematica Sinica,English Series》2021年第5期740-752,共13页Yu Cheng YANG Shang Zhi LI; Let G be a classical group over an arbitrary field F,acting on an n-dimensional vector space V=V(n,F)over a field F.In this paper,we classify the maximal subgroups of G,which normalizes a solvable subgroup N of GL(L,F...; 关键词：Classical group over arbitrary field maximal subgroup solvable subgroup

Fusion Systems over M_p(1, 1, 1) × A-groups: 《Acta Mathematica Sinica,English Series》2019年第8期1311-1320,共10页Jun LIAO He Guo LIU Ji Ping ZHANG; Supported by NSFC(Grant Nos.11131001,11371124 and 11401186); In this paper we study the saturated fusion systems over a direct product of the extraspecial group of order p^3 of exponent p and a finite abelian p-group. The result provides some new exotic fusion systems, whose un...; 关键词：Finite GROUPS FUSION SYSTEMS generalized Fitting SUBGROUPS EXOTIC FUSION SYSTEMS

The Automorphism Group of a Class of Nilpotent Groups with Infinite Cyclic Derived Subgroups: 《Acta Mathematica Sinica,English Series》2018年第7期1151-1158,共8页He Guo LIU Yu Lei WANG Ji Ping ZHANG; Supported by NSFC(Grant Nos.11771129 and 11601121);Henan Provincial Natural Science Foundation of China(Grant No.162300410066);Program for Innovation Talents of Science and Technology of Henan University of Technology(Grant No.11CXRC19); The automorphism group of a class of nilpotent groups with infinite cyclic derived subgroups is determined. Let G be the direct product of a generalized extraspecial E-group E and a free abelian group A with rank m, w...; 关键词：Generalized extraspecial Z-group symplectic group automorphism group

The Fixed Subgroups of Homeomorphisms of Seifert Manifolds: 《Acta Mathematica Sinica,English Series》2015年第5期797-810,共14页Qiang ZHANG; Supported by NSFC(Grant No.11201364);"the Fundamental Research Funds for the Central Universities"; Let M be a compact connected orientable Seifert manifold with hyperbolic orbifold BM, and fπ ： π1 （M）→π1 （M） be an automorphism induced by an orientation-reversing homeomorphism f of M. We give a bound on the...; 关键词：Seifert manifolds fixed subgroups HOMEOMORPHISMS

Some Sufficient Conditions on the Number of Non-abelian Subgroups of a Finite Group to be Solvable被引量：3: 《Acta Mathematica Sinica,English Series》2011年第5期891-896,共6页Jiang Tao SHI Cui ZHANG; Supported by National Natural Science Foundation of China （Grant No. 10871032）, China Postdoctoral Science Foundation （Grant No. 20100470136）; the second author is supported in part by ＂Agencija za raziskovalno dejavnost Republike Slovenije＂, proj. mladi raziskovalci, ＂Agencija za raziskovalno dejavnost Republike Slovenije＂, Research Program P1-0285; Thompson＇s theorem indicates that a finite group with a nilpotent maximal subgroup of odd order is solvable. As an important application of Thompson＇s theorem, a finite group is solvable if it has an abelian maximal...; 关键词：Finite group abelian subgroup solvable group

Local Embeddings of Some Families of Subgroups of Finite Groups被引量：16: 《Acta Mathematica Sinica,English Series》2009年第6期869-882,共14页A.BALLESTER-BOLINCHES Luis M.EZQUERRO Alexander N.SKIBA; Proyecto MTM 2007-68010-C03-02;MTM 2007-68010-C03-01,respectively,of Ministerio de Educación y Ciencia of Spain; In this paper we study the influence of the partial cover and avoidance property on the subgroups of some relevant families of subgroups in a finite group.; 关键词：Finite group cover-avoidance property p-supersoluble groups saturated formation

On Certain Distributive Lattices of Subgroups of Finite Soluble Groups被引量：1: 《Acta Mathematica Sinica,English Series》2007年第11期2069-2078,共10页L.M.EZQUERRO X.SOLER-ESCRIV; Proyecto BFM 2001-1667-C03-01; In this paper, we prove the following result. Let ξ be a saturated formation and ∑ a Hall system of a soluble group G. Let X be a w-solid set of maximal subgroups of G such that ∑ reduces into each element of X. Co...; 关键词：lattice properties PERMUTABILITY FACTORIZATIONS cover and avoidance properties

On Finite Groups with Some Semi Cover-Avoiding Subgroups被引量：4: 《Acta Mathematica Sinica,English Series》2007年第9期1689-1696,共8页Xiu Yun GUO Li Li WANG; the National Natural Science Foundation of China(10471085);the Shanghai Pujiang Program(05PJ14046);the Special Funds for Major Specialities of Shanghai Education Committee; A subgroup H of a finite group G is said to have the semi-cover-avoiding property in G if there is a chief series of G such that H covers or avoids every chief factor of the series. In this paper, some new results are...; 关键词：semi-cover-avoidance property fitting subgroups supersolvable groups

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