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Criteria of Existence of Hall Subgroups in Non-soluble Finite Groups

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Acta Mathematica Sinica,English Series 2010年第2期26卷 295-304页

作者： wen bin guo A. N. SKIBA Department of Mathematics Xuzhou Normal University Xuzhou 221116 P. R. China Department of Mathematics Francisk Skorina Gomel State University Gomel 246019 Belarus

In this paper, the famous Hall theorem and the famous Schur-Zassenhaus theorem are generalized.

关键词： finite groups non-soluble groups Hall subgroups

On σ-semipermutable Subgroups of Finite Groups

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Acta Mathematica Sinica,English Series 2018年第9期34卷 1379-1390页

作者： wen bin guo Alexander N. SKIBA Department of Mathematics University of Science and Technology of China Hefei 230026 P. R. China Department of Mathematics and Technologies of Programming Francisk Skorina Gomel State University Gomel 246019 Belarus

Let a = {σi｜ i ∈ I} be some partition of the set of all primes P, G a finite group and σ（G） = {σi｜σi ∩ π （G） ≠ Ф}. A set H of subgroups of G is said to be a complete Hall or-set of G if every member ≠ 1 of H is a Hall σi-subgroup of G for some σi ∈ σ and H contains exactly one Hall σi-subgroup of G for every σi ∈ σ（G）. A subgroup H of G is said to be： σ-semipermutablc in G with respect to H if HHi x = Hi x H for all x ∈ G and all x ∈ G and all Hi ∈H such that （｜H｜, ｜Hi｜） = 1; σ-semipermutable in G if H is σ-semipermutable in G with respect to some complete Hall σ-set of G. We study the structure of G being based on the assumption that some subgroups of G are σ-semipermutable in G.

关键词： Finite group Hall subgroup p-soluble group p-supersoluble group σ-semipermutable subgroup

Dynamics of Spiral Wave Tip in Excitable Media with Gradient Parameter

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Communications in Theoretical Physics 2009年第7期52卷 173-179页

作者： DENG bin-wen ZHANG guo-Yong CHEN Yong Institute of Theoretical Physics Lanzhou University Lanzhou 730000 China

Using a Barkley model as an example, we study spirM waves and spiral tips in a gradient excitable medium. The gradient distribution of parameters is introduced to depict the inhomogeneous medium. It is found that the parameter fluctuations play an important role in the morphology of spiral pattern and the movements of spiral tips. For varied gradient parameters, it is observed that there exist three kinds of spiral behaviors, stable rotation, rebound of spiral tip from the boundary, and spiral breakup.

关键词： spiral wave spatial gradient Barkley model

Effects of Different Time-Dependent Couplings on Two-Atom Entanglement

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Communications in Theoretical Physics 2007年第5期47卷 909-912页

作者： ZHOU Ling GAO wen-bin YANG guo-Hui SONG He-Shan Department of Physics Dalian University of Technology Dalian 116024 China

The effects of different time-independent and time-dependent couplings on two-atom entanglement are studied. The results show that the effects depend on the initial state. For the initial state ｜eeO〉, it is found that different time-independent couplings make the case without entanglement exhibit entanglement, and time-dependent couplings turn the irregular entanglement regions into regular one. Under the case of decay, for the initial state ｜eg0〉, the different time-dependent couplings have disbenefit.

关键词： different time-dependent couplings entanglement quantum jump approach

Spontaneous Infection and Periodic Evolving of Domain in a Diffusive SIS Epidemic Model

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Acta Mathematicae Applicatae Sinica 2024年第1期40卷 164-191页

作者： Qiang wen guo-qiang Ren bin Liu School of Mathematics and Statistics Huazhong University of Science and TechnologyWuhan430074China Hubei Key Laboratory of Engineering Modeling and Scientific Computing Huazhong University of Science and TechnologyWuhan430074China

In this paper, we consider a susceptible-infective-susceptible(SIS) reaction-diffusion epidemic model with spontaneous infection and logistic source in a periodically evolving domain. Using the iterative technique,the uniform boundedness of solution is established. In addition, the spatial-temporal risk index R0(ρ) depending on the domain evolution rate ρ(t) as well as its analytical properties are discussed. The monotonicity of R0(ρ)with respect to the diffusion coefficients of the infected dI, the spontaneous infection rate η(ρ(t)y) and interval length L is investigated under appropriate conditions. Further, the existence and asymptotic behavior of periodic endemic equilibria are explored by upper and lower solution method. Finally, some numerical simulations are presented to illustrate our analytical results. Our results provide valuable information for disease control and prevention.

关键词： diffusive SIS model spontaneous infection periodically evolving domain periodic endemic equilibrium

Protective effect of bone marrow mesenchymal stem cell-derived exosomes against the reproductive toxicity of cyclophosphamide is associated with the p38MAPK/ERK and AKT signaling pathways

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Asian Journal of Andrology 2021年第4期23卷 386-391页

作者： Xiao-bin guo Jia-wen Zhai Hui Xia Jian-Kun Yang Jun-Hao Zhou wen-bin guo Cheng Yang Ming Xia Kang-Yi Xue Cun-Dong Liu Qi-Zhao Zhou Department of Urology The Third Affiliated Hospital of Southern Medical UniversityGuangzhou 510630China

Spermatogenic dysfunction caused by cyclophosphamide(CP)chemotherapy has seriously influenced the life quality of ***,treatments for CP-induced testicular spermatogenic dysfunction are limited,and the molecular mechanisms are not fully *** the first time,here,we explored the effects of bone marrow mesenchymal stem cell-derived exosomes(BMSC-exos)on CP-induced testicular spermatogenic dysfunction in vitro and in ***-exos could be taken up by spermatogonia(GC1-spg cells).CP-injured GC1-spg cells and BMSC-exos were cocultured at various doses,and then,cell proliferation was measured using 3-[4,5-dimethylthiazol-2-yl]-2,5 diphenyl tetrazolium bromide(MTT)*** addition,photophosphorylation of extracellular-regulated kinase(ERK),p38 mitogen-activated protein kinase(p38MAPK),and protein kinase B(AKT)proteins was evaluated by western blotting as well as apoptosis in GC1-spg cells measured using flow *** with BMSC-exos enhanced cell proliferation and reduced apoptosis of CP-injured GCI-spg *** levels of ERK,AKT,and p38MAPK proteins were reduced in CP-injured spermatogonia when co-treated with BMSC-exos,indicating that BMSC-exos acted against the reproductive toxicity of CP via the p38MAPK/ERK and AKT signaling *** experiments in vivo,CP-treated rats received BMSC-exos by injection into the tail vein,and testis morphology was compared between treated and control *** showed that transfusion of BMSC-exos inhibited the pathological changes in CP-injured ***,BMSC-exos could counteract the reproductive toxicity of CP via the p38MAPK/ERK and AKT signaling *** findings provide a potential treatment for CP-induced male spermatogenic dysfunction using BMSC-exos.

关键词： bone marrow mesenchymal stem cells cyclophosphamide exosomes reproductive toxicity

Effect of CaCl_2 on RDI and RI of Sinter

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Journal of Iron and Steel Research International 2010年第11期17卷 7-12页

作者： ZHANG Xu ZHANG Jian-liang HU Zheng-wen ZUO Hai-bin guo Hong-wei School of Metallurgical and Ecological Engineering University of Science and Technology Beijing Beijing 100083 China

On the premise of maintaining the reducibility of sinter unchanged, it is of great significance to reduce the RDI （reduction degradation index） of sinter, which will improve the permeability of blast furnace burden column, so as to realize stable and smooth performance, and keep high yield and low consumption. Under laboratory conditions, a study on the RDI and RI （reduction index） of sinter was proposed, in which the sinter was immersed in solutions with different types and concentrations. In order to study the mechanism of CaCl2 effect on the RDI and RI of sinter, analysis based on the methods of IR spectra, SEM and chaleography was adopted. The results show that Cl^- is the main factor reducing the RDI of sinter, and the RDI and RI of sinter decrease with the increase of Cl^- concentration. With comprehensive consideration of the RDI and RI of sinter, when the concentration of Cl^ is 2%, the RDI of sinter will be significantly reduced and RI will not be affected.

关键词： sinter CaCl2 RDI RI

The Influence of s-Conditional Permutability of Subgroups on the Structure of Finite Groups

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Journal of Mathematical Research and Exposition 2011年第1期31卷 173-179页

作者： wen Juan NIU wen bin guo Yu Feng LIU Department of Mathematics Xuzhou Normal University Jiangsu 221116 P. R. China Department of Mathematics University of Science and Technology of China Anhui 230026 P. R. China School of Mathematical and Informational Science Shandong Institute of Business and Technology Shandong 264005 P. R. China

Let G be a finite group. Fix a prime divisor p of IGI and a Sylow p-subgroup P of G, let d be the smallest generator number of P and Ma（P） denote a family of maximal subgroups P1, P2 , Pd of P satisfying ∩^di=1 Pi = Ф（P）, the Frattini subgroup of P. In this paper, we shall investigate the influence of s-conditional permutability of the members of some fixed .Md（P） on the structure of finite groups. Some new results are obtained and some known results are generalized.

关键词： finite groups s-conditionally permutable groups saturated formations supersoluble groups nilpotent groups.

The centrosymmetric to non-centrosymmetric transformation induced by alkaline-earth cations producing infrared nonlinear optical AeMn_(6)Ga_(6)S_(16)(Ae=Ca,Sr)

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Science China Chemistry 2024年第9期67卷 2941-2948页

作者： Yang-Ping Zhang Shao-Min Pei wen-Fa Chen bin-wen Liu Xiao-Ming Jiang guo-Cong guo State Key Laboratory of Structural Chemistry Fujian Institute of Research on the Structure of MatterChinese Academy of SciencesFuzhou 350002China Fujian Science&Technology Innovation Laboratory for Optoelectronic Information of China Fuzhou 350108China School of Physical Science and Technology Shanghai Tech UniversityShanghai 201210China

Non-centrosymmetric(NCS)structure is an indispensable prerequisite for second-order nonlinear optical(NLO)***,the mainstream approach for designing new NCS structures still relies on chemical substitution,necessitating an urgent infusion of fresh *** this work,two isomorphic sulfides AeMn_(6)Ga_(6)S_(16)(Ae=Ca,1;Sr,2)are afforded by modifying the skeleton of centrosymmetric(CS)Mn_(2)Ga_(2)S_(5) via introducing strong electropositive alkaline-earth ***,the incorporation of Ca^(2+)/Sr^(2+)cations allows the elementary[MnGaS_(9)]_(∞)chains to reconfigure into bumpy[MnS_(6)]-[GaS_(4)]layers in a new engagement manner,thus enabling the conversion from CS to NCS *** modifications cause not only strong second-harmonic generation(SHG)responses(~1.5×benchmark AgGaS_(2)@1,700 nm),but also significantly feasible bandgaps(2.60-2.64 e V)compared to the sulfide Mn_(2)Ga_(2)S_(5)(1.36 e V),which ultimately facilitate ultrahigh laser-induced damage thresholds(4.4-6.6×AgGaS_(2)@1,064 nm for compounds 1 and 2).The present study offers an ingenious approach for the transformation of CS to NCS structure.

关键词： second-harmonic generation non-centrosymmetrical structure NLO functional motif solid-state method