CONJUGACY

作品数:33被引量:62H指数:5
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相关领域:理学更多>>
相关作者:王立中更多>>
相关机构:北京大学更多>>
相关期刊:《Science China Mathematics》《Frontiers of Mathematics in China》《Open Journal of Discrete Mathematics》《Frontiers of Information Technology & Electronic Engineering》更多>>
相关基金:国家自然科学基金美国国家科学基金国家教育部博士点基金国家重点基础研究发展计划更多>>
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Acceptable Compact Lie Groups
《Peking Mathematical Journal》2022年第2期427-446,共20页Jun Yu 
research is partially supported by the NSFC Grant 11971036.
In this paper,we show that for a connected compact Lie group to be acceptable,it is necessary and sufficient that its derived subgroup is isomorphic to a direct product of the groups SU(n),Sp(n),SO(2n+1),G2,SO(4).We s...
关键词:Element conjugacy Global conjugacy Acceptable group Pseudocharacter 
An Arithmetical Condition on the Sizes of Conjugacy Classes of a Finite Group
《Algebra Colloquium》2022年第3期375-384,共10页Yongcai Ren 
An element x of a finite group G is said to be primary if the order of x is a prime power.We define csp2(G)as follows:if|x^(G)|is a prime power for every primary element x of G,where x^(G) is the conjugacy class of x ...
关键词:finite group primary element conjugacy class size SOLVABLE 
On Conjugacy Class Graph of Normal Subgroup
《Algebra Colloquium》2022年第3期437-442,共6页Ruifang Chen Xianhe Zhao 
partially supported by the National Natural Science Foundation of China(11901169);the Youth Science Foundation of Henan Normal University(2019QK02);the Project for Graduate Education Reform and Quality Improvement of Henan Province and Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control,College of Mathematics and Information Science.
Let G be a finite group and N a normal subgroup of G.Denote by Γ_(G)(N)the graph whose vertices are all distinct G-conjugacy class sizes of non-central elements in N,and two vertices of Γ_(G)(N)are adjacent if and o...
关键词:normal subgroup conjugacy class size quasi-Frobenius group GRAPH 
C^(0) conjugacy between PM functions with nonmonotonicity height equal to 1
《Science China Mathematics》2021年第9期1993-2006,共14页Xiao Tang 
In this paper,a topological classification of piecewise monotone functions(abbreviated as PM functions)with nonmonotonicity height equal to 1 which are strictly increasing on their characteristic intervals and have fi...
关键词:topological conjugacy PM function nonmonotonicity height piecewise construction 
Transitive partially hyperbolic di eomorphisms with one-dimensional neutral center
《Science China Mathematics》2020年第9期1647-1670,共24页Christian Bonatti Jinhua Zhang 
The second author was supported by the European Research Council(Grant No.692925);the starting grant from Beihang University.
In this paper,we study transitive partially hyperbolic di eomorphisms with one-dimensional topologically neutral center,meaning that the length of the iterate of small center segments remains small.Such systems are dy...
关键词:partial hyperbolicity dynamical coherence CONJUGACY TRANSITIVITY NEUTRAL 
Multiplicity one, local and global conjugacy
《Science China Mathematics》2020年第6期1029-1038,共10页Song Wang 
National Natural Science Foundation of China (Grant No. A010102-11671380);One Hundred Talents Program at Chinese Academy of Sciences, National Basic Research Program of China (Grant No. 2013CB834202);National Science Foundation of USA (Grant No. DMS9729992)。
The issue of local and global conjugacy is closely related to the multiplicity one property in representation theory and the Langlands program. In this article we give first families of connected instances for SO2N wh...
关键词:multiplicity one l-adic Galois representation local conjugacy global conjugacy 
Computing the Full Non-Rigid Group of Trimethylborane and Cyclohaxane Using Wreath Product
《American Journal of Computational Mathematics》2020年第1期23-30,共8页Enoch Suleiman M. S. Audu 
This paper computes the group and character table of Trimethylborane and Cyclohaxane. Results show that the groups are isomorphic to the wreath products C3wrC2 and C2wrC6 with orders 81 and 384 and with 17 and 28 conj...
关键词:NON-RIGID MOLECULE GROUP Trimethylborane Cyclohaxane Wreath Product CHARACTER TABLE CONJUGACY Classes 
Toric Heaps, Cyclic Reducibility, and Conjugacy in Coxeter Groups
《Open Journal of Discrete Mathematics》2019年第4期110-143,共34页Shih-Wei Chao Matthew Macauley 
In 1986, G.X. Viennot introduced the theory of heaps of pieces as a visualization of Cartier and Foata’s “partially commutative monoids”. These are essentially labeled posets satisfying a few additional properties,...
关键词:CONJUGACY Coxeter Group CFC Cyclic REDUCIBILITY Faux CFC Cyclically Fully COMMUTATIVE HEAP Logarithmic Morphism TFC Torically Fully COMMUTATIVE TORIC HEAP TORIC Poset TORIC REDUCIBILITY Trace Monoid 
NEW HYBRID CONJUGATE GRADIENT METHOD AS A CONVEX COMBINATION OF LS AND FR METHODS被引量:6
《Acta Mathematica Scientia》2019年第1期214-228,共15页Sne?ana S.DJORDJEVI? 
In this paper, we present a new hybrid conjugate gradient algorithm for unconstrained optimization. This method is a convex combination of Liu-Storey conjugate gradient method and Fletcher-Reeves conjugate gradient me...
关键词:hybrid CONJUGATE GRADIENT method CONVEX combination Dai-Liao CONJUGACY condition NEWTON direction 
On the Topological Entropy of Nonautonomous Differential Equations
《Journal of Applied Mathematics and Physics》2019年第2期418-429,共12页Le Huy Tien Le Duc Nhien 
The purpose of this paper is to extend the concept topological entropy to nonautonomous linear systems. Next, we shall give estimation of the topological entropy for the class of bounded linear equations on Rn. Finall...
关键词:Kinematically Similar TOPOLOGICAL CONJUGACY LINEAR DYNAMIC EQUATION TOPOLOGICAL ENTROPY 
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