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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...
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 ...
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...
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...
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...
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...
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...
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,...
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...
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...