On Finite Groups with Special Conjugacy Classes

IntroductionIn 1973, Markel[1]began to investigate the“S3-conjecture”; that is,S3is the only finite group inwhich every conjugacy class has different order(note: the“order”here from Ref.[2] means thelength of a conjugacy class of a group). Many schol-…     

F-Decomposition of Noetherian Modules over Hyper-（Cyclic or Finite）Groups

Let F be a locally defined formation consisting of locally soluble groups，G a hyper-(cyclic or finite)locally soluble group and A a noetherian ZG-module with all irreducible ZG-factors being finite，G∈F,f(∞)≌f(p)，f(P)≠Фfor each P∈π．The following conclutions are obtained：(1)if there exists a maximal submodule B of A such that A／B is F central in G and B has no nonzero F centml ZG-factors，then A has an F decomposition；(2)if there exists an irreducible F central submodule B of A such that all ZG-composition factors of A／B are F ecentric，then A has an F decomposition．     

s-Conditionally Permutable Subgroups and p-Nilpotency of Finite Groups

A subgroup H of G is called s-conditionally permutable in G if for every Sylow subgroup T of G,there exists an element x∈G such that HTx=TxH.In this paper,we investigate further the influence of s-conditionally permutability of some 2-maximal subgroups of the Sylow subgroup of G,on the structure of finite groups.New criteria for a group G being p-nilpotent are obtained.     

Splitting Extensions of Abelian by Hyper-（ cyclic or finite） Groups （Ⅱ ）

Let F be a locally defined formation consisting of locally solvable groups, G a hyper-（ cyclic or finite） locally solvable group and A a noetherian ZG-module with all irreducible ZG-factors being finite. The following conclusion is obtained： if G∈F, f（ ∞ ） include f（p）, f（p） ≠φ for each p∈π, and A has no nonzero F central ZG- images, then any extension E of A by G splits conjugately over A, and A has no nonzero F central ZG-factors.     

The F -Decomposition of Artinian Modules over Hyper-(Cyclic or Finite) Groups

Let Fbe a formation locally defined by f(p), G∈ Fand A a ZG-module, where p∈π={all primes and symbol ∞}.Then a p-main-factor U/V of G is said to be F -central in G if G/CG(U/V)∈f(p). In this paper, we have proved that: let Fbe a locally defined formation consisting of locally soluble groups, G a hyper-(cyclic or finite) locally soluble group and A an artinian ZG-module with all irreducible ZG-factors of A being finite; if G ∈ F, f(∞) f(p), f(p)≠ for each p∈π, A has an F -decomposition.     

一类二型Fuchsian群的局部化性质

为了讨论整数的整二次型表示,引进整二次型的θ-级数,并发现θ-级数与模群的自守形式有紧密的联系.Fuchsian群及其自守形式是模群与模形式的重要延伸.对于一类二型Fuchsian群H(4q),这是G(然)的一个子群.众所周知,G(√q)中的元素要落H(√q)中需要有诸多限制.简化这些限制条件是很有意义的.利用p -局...     

(F)-Decomposition of Minimax Module over Hyper Finite Groups

Let G be a hyper finite locally solvable group, A a minimax ZG-module, (F) a locally defined formation consisting of locally solvable groups, A has no nonzero infinite irreducible ZG-factors, and G ∈(F) . The following results are proved: if A has a maximal submodule B such that A/B is central in G and B has no nonzero (F)-central ZG-factors, then A has an (F)-decomposition; if A has an irreducible (F)-central submodule B such that all ZG-composition factors of A/B are (F)-eccentric, then A has an (F)-decomposition.     

奇数阶完全图的因子分解与对称群

F．Harary在[1]中提出如下一个未解决问题：那些有限置换群是完全图同构分解的因子对称群？对于n〉1。构造了2n＋1阶完全图G的／7,个不同的同构分解G^e=G1∪G2∪…∪Gn,其中G1是2n个点的路的第e对对称点和另1个点连接得到的图。证明了G的同构分解的因子对称群是n阶循环群。     

完全图的路分解与因子对称群

F.Harary在[1]中提出如下一个未解决问题:那些有限置换群是完全图同构分解的因子对称群?本文证明了偶数阶完全图的路分解的因子对称群是循环群.     

On Restricted Connectivity and Extra Connectivity of Hypercubes and Folded Hypercubes

Given a graph G and a non-negative integer h, the h-restricted connectivity k^h(G) of G is the minimum cardinality of a set of vertices of G, in which at least h neighbors of any vertex is not included, if any, whose deletion disconnects G and every remaining component has the minimum degree of vertex at least h; and the h-extra connectivity k^h(G) Of G is the minimum cardinality of a set of vertices of G, if any, whose deletion disconnects G and every remaining component has order more than h. This paper shows that for the hypercube Qn and the folded hypercube FQn, k1(Qn)=k^（1）(Qn)=2n-2 for n≥3, k2(Qn)=3n-5 for n≥4, k1(FQn)=k^(1)(FQn)=2n for n≥4 and k^(2)(FQn)=4n-4 for n≥8.     

若干合成图的星全染色

简单图G和H的合成图是指具有顶点集V（G）×V（H）的简单图G[H],它的顶点（u,v）和另一个顶点（u,v＇）相邻当且仅当或者uu＇∈E（G）,或者“u=u’且vv’∈E（H）．文中研究了n＋1阶简单图G与m阶简单图H的合成图的星全染色,其中G为Wn。,扇Fm或星Sn．得到以下结果：（1）若△（H）=2且n≥4,m≥5,则G[H]的星全色数为（2n＋1）m;（2）若x（H）=△（H）=m-1且n,m≥4,则G[H]的星全色数为2（n＋1）m-1．     

同种瓣体外再内皮化的实验研究

目的　为制备具有完整结构、低抗原性的同种瓣 (HV)作准备。方法　 48个新鲜 HV随机分为 3组 ,I组为人脐静脉内皮细胞 (HUVEC)培养组 ; 组为 1 %脱氧胆酸 (DOA)处理组 ; 组为 2 .5%戊二醛处理组 ,各组分别于 1、3、7、1 0 d观测内皮细胞 (EC)生长被覆情况。检测项目 :1台盼蓝染色活细胞计数。 2 3H- Td R掺入量。 3EC超微结构及 HV表面形态变化。结果　 组可见 EC附着生长 ,其细胞数量及 3H- Td R掺入量显著小于 组 (P <0 .0 5) ,被覆 EC结构完整 ,与其下成纤维细胞有紧密联系。 组未见 EC生长。结论　 1 1 % DOA去内皮方法较好。 2HUVEC在 DOA去内皮 HV有一定的生长趋势。 3 HUVEC在戊二醛处理 HV上不能生长     

GENETIC POLYMORPHISM IN HUMAN β-DEFENSIN-1 AND CHRONIC OBSTRUCTIVE PULMONARY DISEASE IN HAN POPULATION IN SOUTH OF CHINA

Objective To investigate the correlation between human β-defensin-1 ( HBD-1) exon 2 variations and chronic obstructive pulmonary disease susceptibility in Han population in south of China. Methods The frequency of polymorphic genotypes of HBD-1 exon 2 (1654G/A) was examined in 120 COPD patients ( COPD group) and 108 smokers without COPD ( control group) by restriction fragment length polymorphism. Results The frequencies of polymorphic genotypes in HBD-1 exon 2 in COPD group were G/G 82.50%, G/A 10. 83%, and A/A 6. 67%. The frequencies of polymorphic genotypes in control group were G/G 95.37%, G/A 3. 70%, and A/A 0. 93 %. It showed significant difference between two groups ( P ＜ 0. 01 ). The differences in allele frequencies were also significant between two groups ( G allele frequency: 87. 92% vs 97. 22%; A allele frequency: 12. 08% vs 2.78%; P ＜ 0. 01 ). The G→A mutation rised along with the severity of the COPD. Conclusion The genetic polymorphism in HBD-1 exon 2 gene might be associated with the susceptibility to COPD in Han population of South China.     

Orders of Automorphism Groups of Some p-Groups

The orders of automorphism groups of the groups of order p6 in the twelve family φ12 are produced, where p is an odd prime. Every group is analysed by utilizing the properties of metabelian, regularity and p-commutativity of finite p-groups, and the structure of the generators of its automorphism groups is obtained. Then the orders of automorphism groups are determined through some properties of equivalence in number theory.     

The Dimensions of Graphs and Constructions of Their Bases

IntroductionGraph G,considered in this paper,is finiteand simple with vertex set V ( G) and edge setE( G) .Let d( x,y) denote the distance between xand y in G and W={w1,w2 ,…,wk}denote the or-dered set of V( G) .For any given v∈V( G) ,therepresentation of v with respect to W is the k- vec-tor:r( v| W) ={d( v,w1) ,d( v,w2 ) ,…,d( v,wk) }.The ordered set W is called a resolving set of G ifr( u| W) =r( v| W) implies that u=v for all pairs{u,v}of vertices of G. A resolving set of G with…     

儿童桥本氏病的临床和实验室特征

以成人桥本氏病60例为对照，分析了60例儿童桥本氏病。显示：①阳性的自身免疫甲状腺病家族史较成人组多见（P＝0.0126）；②甲状腺峡部大为主者多于成人组（X2=49，P＜0.05）；甲状腺质地硬或韧如橡皮者显著少于成人组（X2=12．48，P＜0．001），伴结节者显著少于成人组（X2=8．2，P＜0.01）；③甲状腺球蛋白抗体（TGAb）和微粒体抗体（TMAb）阴性者显著多于成人组（X2=5．1和X3=5．81，P均＜0．05）；④淋巴细胞型显著多于成人组（X2=7.01，P＜0．01），而嗜酸细胞型明显少于成人组（X3=3．89，P＜0．05）；⑤甲状腺肿大程度、生化和碘代谢，两组相比差异无显著性（P＞0．05）。     

高血压脑出血患者细胞免疫及IL-2、sIL-2R表达的意义

目的　研究高血压脑出血患者外周血中红细胞免疫和T淋巴细胞亚群的改变以及白细胞介素 2 (IL 2 )、可溶性白细胞介素 2受体 (sIL 2R)表达的变化规律 ,探讨它们之间相互关系及临床意义。方法　采用酶联免疫吸附 (ELISA)法测定患者IL 2、sIL 2R的含量 ,免疫粘附法测定红细胞免疫活性及其调节功能 ,S P(链亲和素 过氧化物酶 )一步法测定CD3、CD4、CD8的细胞数。结果　高血压脑出血组IL 2含量较对照组明显降低 (P <0 .0 5 ) ,sIL 2R则明显升高 (P <0 .0 5 ) ;红细胞C3b受体 (RBC .C3bR)、红细胞免疫调节促进因子 (RFER)明显降低 (P <0 .0 0 1) ,红细胞免疫复合物 (RBC .ICR)、红细胞免疫调节抑制因子 (RFIR)则明显升高 ;CD3、CD4细胞数明显降低 (P <0 .0 1) ,CD8无明显差异 (P >0 .0 5 )。结论　高血压脑出血患者出现免疫功能低下。通过临床检测患者IL 2、sIL 2R含量、红细胞免疫功能、T细胞亚群活性在高血压脑出血的发生、发展、治疗、转归及预后方面具有重要的临床指导意义     

关于图的反减圈控制数

设G=（V,E）是一个图,C为G的导出圈,函数厂：E→｜＋1,0,-1｜,如果对任意e∈E（C）均有∑f（e）≤0成立,则称f为图G的一个反减圈控制函数,称ymc（G）=max{∑f（e）｜f为G的反减圈控制函数,e∈E（G）}为图G的反减圈控制数．本文给出了图的反减圈控制数的上界和极大平面图及几类特殊图的反减圈控制数．     

上皮性卵巢癌中P53蛋白的表达及临床意义

目的　探讨抑癌基因P5 3蛋白在上皮性卵巢癌发生、发展中的作用。方法　对 74例上皮性卵巢癌应用免疫组化方法检测P5 3蛋白的表达。结果　上皮性卵巢癌中P5 3蛋白有一定的表达缺失 ,在G1、G2级组织表达率 (90 .6 2 % )高于G3级 (6 6、6 7% ) ,二者差异有显著性 (P <0 .0 5 ) ;不同的临床分期中 ,Ⅰ、Ⅱ期阳性表达为 2 2 / 2 4 (91、6 7% ) ,Ⅲ、Ⅳ期阳性表达为 35 / 5 0 (70 % ) ,二者差异有显著性 (P <0 .0 5 )。在浆液性和黏液性两种不同的组织类型间 ,表达率分别为 82 .98%和 6 6 .6 7% ,二者无明显差别。结论　P5 3蛋白的表达缺失在上皮性卵巢癌发生、发展过程有一定的作用 ,并且与病变进展和分化有关     

生血胶囊对免疫介导的再生障碍性贫血小鼠骨髓Cyclin D_3表达的影响

目的　探讨生血胶囊对免疫介导的再生障碍性贫血 (再障 )小鼠骨髓增殖及细胞周期蛋白D3(CyclinD3)表达的影响。方法　建立免疫介导的再障模型。造模当日开始胃饲生血胶囊水提液 ,每次 0 .1mL/1 0 g体重 ,2次 /d ,连续 9d ,以生血丸为对照。第 1 0天处死动物 ,采用流式细胞仪检测小鼠骨髓有核细胞 (BMNC)G0 /G1 期细胞百分率 ,免疫组织化学超敏S AP法检测股骨中段骨髓CyclinD3表达水平。结果　生血胶囊组与再障模型组比较 ,G0 /G1 期细胞百分率显著降低 (P <0 .0 1 ) ,而CyclinD3表达水平明显升高 (P <0 .0 1 ) ,与生血丸组比较各项指标均无显著差异 (P >0 .0 5 )。结论　生血胶囊能提高免疫介导的再障小鼠骨髓CyclinD3的表达水平 ,促进骨髓造血细胞由G0 /G1 期进入增殖期 ,其作用强度与生血丸相当。