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AUTOMORPHISMS: 作品数：80被引量：45H指数：4; 导出分析报告; 相关领域：理学更多>>; 相关作者：郭凌燕毛林繁更多>>; 相关机构：北京师范大学中国科学院数学与系统科学研究院更多>>; 相关期刊：《Journal of Mathematical Research with Applications》《Science China Mathematics》《Algebra Colloquium》《Acta Mathematica Scientia》更多>>; 相关基金：国家自然科学基金国家教育部博士点基金河北省自然科学基金山东省自然科学基金更多>>

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

Classification of Proper Holomorphic Mappings between Hartogs Domains over Homogeneous Siegel Domains: 《Acta Mathematica Sinica,English Series》2023年第11期2259-2274,共16页Lei WANG; the National Natural Science Foundation of China(Grant Nos.11801187,11871233 and 11871380)。; The Hartogs domain over homogeneous Siegel domain D_(N,s)(s>0)is defined by the inequality■,where D is a homogeneous Siegel domain of typeⅡ,(z,ζ)∈D×C~N and KD(z,z)is the Bergman kernel of D.Recently,Seo obtained ...; 关键词：Hartogs domains homogeneous Siegel domain of typeⅡ proper holomorphic mappings AUTOMORPHISMS

On symplectic automorphisms of elliptic surfaces acting on CH_(0): 《Science China Mathematics》2023年第3期443-456,共14页Jiabin Du Wenfei Liu; supported by National Natural Science Foundation of China(Grant Nos.11971399 and 11771294);the Presidential Research Fund of Xiamen University(Grant No.20720210006)。; Let S be a complex smooth projective surface of Kodaira dimension one. We show that the group Auts(S) of symplectic automorphisms acts trivially on the Albanese kernel CH_(0)(S)albof the 0-th Chow group CH_(0)(S), unl...; 关键词：symplectic automorphism elliptic surface Chow group

Generalized Centrosymmetric Matrix Algebras Induced by Automorphisms: 《Algebra Colloquium》2022年第4期607-618,共12页Huabo Xu; supported by Beijing Nova Program(Z181100006218010);by Research Ability Improvement Program of BUCEA(Grant No.X22026).; Let R be a ring with an automorphismφof order two.We introduce the definition ofφ-centrosymmetric matrices.Denote by M_(n)(R)the ring of all n X n matrices over R,and by Sn(φ,R)the set of all p-centrosymmetric n×n...; 关键词：φ-centrosymmetric matrix cellular algebra Frobenius extension

A Class of Association Schemes and Their Automorphisms: 《Algebra Colloquium》2022年第3期361-374,共14页Changli Ma Shuxia Liu Yanan Feng Yang Zhang Liwei Zeng; supported by NSFC(No.12171139,No.11701140,No.11771119);Foundation of Hebei Province of China(No.A2018205168,No.A2019210223,No.QN2020196).; In this paper,we construct a class of association schemes by using pairs of subspaces of vector spaces and determine their full automorphism groups.; 关键词：association scheme AUTOMORPHISM relation graph

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

THE BLOCH SPACE ON THE UNIT BALL OF A HILBERT SPACE: MAXIMALITY AND MULTIPLIERS: 《Acta Mathematica Scientia》2021年第3期899-906,共8页Pablo GALINDO Mikael LINDSTRÖM; partially supported by Spanish MINECO/FEDER PGC2018-094431-B-I00;partially supported by the Academy of Finland Project 296718。; We prove that, as in the finite dimensional case, the space of Bloch functions on the unit ball of a Hilbert space contains, under very mild conditions, any semi-Banach space of analytic functions invariant under auto...; 关键词：Analytic functions on Hilbert space invariance under automorphisms multiplier

Automorphisms of a Class of Finite p-groups with a Cyclic Derived Subgroup被引量：1: 《Acta Mathematica Sinica,English Series》2021年第6期926-940,共15页Yu Lei WANG He Guo LIU; Supported by NSFC(Grant Nos.11601121,11771129);Natural Science Foundation of He’nan Province of China(Grant No.162300410066)。; Let p be an odd prime,and let k be a nonzero nature number.Suppose that nonabelian group G is a central extension as follows1→G’→G→Z_(pK)×…×Z_(pK),where G’≌Zpk,andζG/G’is a,direct factor of G/G’.Then G is ...; 关键词：AUTOMORPHISM P-GROUP cyclic derived subgroup symplectic 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

Regular automorphisms of order p2: 《Frontiers of Mathematics in China》2019年第6期1367-1373,共7页Tao XU Heguo LIU; This work was supported by the National Natural Science Foundation of China(Grant Nos.11801129,11771129);the Natural Science Foundation of Hebei Province(No.A2019402211);the Program for Young Top Talent of Higher Learning Institutions of Hebei(No.BJ2018025);the Foundation of Handan(No.1723208068-5);the Excellent Young and Middle-Aged Innovative Team Program of Hubei(No.T201601);the New Century High-Level Talents Foundation of Hubei.; Let G be a group,and let a be a regular automorphism of order p2 of G,where p is a prime.If G is polycyclic-by-finite and the map φ:G→G defined by=g^φ,[g,a]is surjective,then G is soluble.If G is polycyclic,then CG...; 关键词：Polycyclic group regular automorphism residually finite

AUTOMORPHISMS