• 제목/요약/키워드: N-group

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ON DECOMPOSABILITY OF FINITE GROUPS

  • Arhrafi, Ali-Reza
    • 대한수학회지
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    • 제41권3호
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    • pp.479-487
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    • 2004
  • Let G be a finite group and N be a normal subgroup of G. We denote by ncc(N) the number of conjugacy classes of N in G and N is called n-decomposable, if ncc(N) = n. Set $K_{G}\;=\;\{ncc(N)$\mid$N{\lhd}G\}$. Let X be a non-empty subset of positive integers. A group G is called X-decomposable, if KG = X. In this paper we characterise the {1, 3, 4}-decomposable finite non-perfect groups. We prove that such a group is isomorphic to Small Group (36, 9), the $9^{th}$ group of order 36 in the small group library of GAP, a metabelian group of order $2^n{2{\frac{n-1}{2}}\;-\;1)$, in which n is odd positive integer and $2{\frac{n-1}{2}}\;-\;1$ is a Mersenne prime or a metabelian group of order $2^n(2{\frac{n}{3}}\;-\;1)$, where 3$\mid$n and $2\frac{n}{3}\;-\;1$ is a Mersenne prime. Moreover, we calculate the set $K_{G}$, for some finite group G.

황칠나무 추출물이 고혈압에 미치는 영향에 관한 연구 (A Study on the Effect of the Dendropanax Mobifera Extract on Anti-Hypertensive)

  • 조용복;이장훈
    • 한국산학기술학회논문지
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    • 제17권11호
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    • pp.708-715
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    • 2016
  • 본 연구의 목적은 자연적으로 유발된 고혈압 쥐의 지질 수준에서 혈압의 변화 및 안지오텐신 II, 안지오텐신 전환효소, 알도스테론 농도변화에 대한 Dendropanax morbifera 추출물의 항고혈압 효과를 확인하고자 하였다. 실험용 동물은 실험에 사용하기 위해 정상대조군, 고혈압대조군, 물 추출물, 에탄올추출물, n-헥산 분획물, 에틸아세테이트 분획물, n-부탄올 분획물, 물 분획물 투여군 등, 8개 군으로 분리하였다. 실험 결과, 혈압 및 안지오텐신 II 농도, 안지오텐신 전환효소 농도, 알도스테론 농도 수준은 고혈압 대조군보다 에틸 아세테이트 분획 투여군에서 낮았다. 혈압변화 수준은 고혈압대조군보다 에탄올추출물, 에틸아세테이트분획물, n-헥산 분획물, n-부탄올 분획물 투여군에서 감소하였음을 확인하였다. 안지오텐신 II 농도 수준은 고혈압 대조군보다 에틸아세테이트 분획물, n-헥산 분획물, n-부탄올 분획물, 에탄올 추출물 투여군에서 유의적으로 낮았다(p<0.05). 안지오텐신 전환효소 농도 수준은 고혈압대조군보다 에틸아세테이트 분획물, 에탄올추출물, n-헥산 분획물, n-부탄올 분획물 투여군에서 감소하였음을 확인하였다. 알도스테론 농도 수준은 고혈압 대조군보다 에틸아세테이트 분획물, n-부탄올 분획물에서 유의적으로 낮은 농도를 보였다(p<0.05). 또한, 물 추출물 에탄올추출물, n-헥산 분획물에서도 낮아졌다. 따라서 본 실험 대상 일부 시료들이 고혈압유발 실험동물에 높은 고혈압 억제 효과를 입증하므로, 황칠나무 추출물이 고혈압의 예방과 치료용 조성물 또는 기능성건강식품으로 유용성이 확인 되었다.

향미성 Natto의 섭취가 흰쥐의 지질 대사에 미치는 영향 (Effects of Spice Added Natto Supplementation on the Lipid Metabolism in Rats)

  • 김복란;김종대;함승시;최용순;이상영
    • 한국식품영양과학회지
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    • 제24권1호
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    • pp.121-126
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    • 1995
  • The purpose of this study was to investigate the effects of Natto supplementation on lipid metabolism in rats. Male rats were fed on casein(CON group), steamed soybean(SS group), conventional Natto(N-1 group), garlic(2%) added Natto(N-2 group), red pepper oleoresin(0.2%) added Natto(N-3 group) and galic(2%) and red pepper oleoresin(0.2%) added Natto(N-4 group) as a protein source for 4 weeks. Serum and liver cholesterol levels were significantly lower in the experimental groups than in the control group. Especially, dietary N-2, N-3 and N-4, compared with CON, reduced markedly the concentration of serum cholesterol. The concentration of serum HDL-cholesterol was higher markedly in the N-4 group than in the control group. The concentration of serum triglyceride was significantly lower in the N-1, N-2, N-3 and N-4 groups than in the control group. Garlic and red pepper added Natto fed groups(N-2, N-3, N-4) showed more excreion of fecal bile acid when compared with those values of casein fed group. The results indicate that spice added Natto supplementation may have more beneficial roles in lipid metabolism through reduced cholesterol levels and increased fecal bile acid excretion.

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AUTOCOMMUTATORS AND AUTO-BELL GROUPS

  • Moghaddam, Mohammad Reza R.;Safa, Hesam;Mousavi, Azam K.
    • 대한수학회보
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    • 제51권4호
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    • pp.923-931
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    • 2014
  • Let x be an element of a group G and be an automorphism of G. Then for a positive integer n, the autocommutator $[x,_n{\alpha}]$ is defined inductively by $[x,{\alpha}]=x^{-1}x^{\alpha}=x^{-1}{\alpha}(x)$ and $[x,_{n+1}{\alpha}]=[[x,_n{\alpha}],{\alpha}]$. We call the group G to be n-auto-Engel if $[x,_n{\alpha}]=[{\alpha},_nx]=1$ for all $x{\in}G$ and every ${\alpha}{\in}Aut(G)$, where $[{\alpha},x]=[x,{\alpha}]^{-1}$. Also, for any integer $n{\neq}0$, 1, a group G is called an n-auto-Bell group when $[x^n,{\alpha}]=[x,{\alpha}^n]$ for every $x{\in}G$ and each ${\alpha}{\in}Aut(G)$. In this paper, we investigate the properties of such groups and show that if G is an n-auto-Bell group, then the factor group $G/L_3(G)$ has finite exponent dividing 2n(n-1), where $L_3(G)$ is the third term of the upper autocentral series of G. Also, we give some examples and results about n-auto-Bell abelian groups.

Streptozotocin으로 유발된 당뇨 흰쥐에 대한 연근 에탄올 추출물의 당대사 효소활성과 항산화 작용에 미치는 영향 (Ethanol Effect of Nelumbo nucifera Root on Carbohydrate Methabolism Related Enzyme Activities and Antioxidative Effect in Streptozotocin-Induced Diabetic Rats)

  • 김옥경
    • 한국응용과학기술학회지
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    • 제31권3호
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    • pp.509-516
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    • 2014
  • This study was done to investigate the carbohydrate metabolism related enzyme activities and antioxidative effects of Nelumbo nucifera(N.N) Root in streptozotocin (STZ)-induced diabetic rats. The contents of serum glucose, triglyceride (TG) and Total cholesterol were significantly decreaed in N.n treated group compared to the those of STZ-control group. The activity of glucose-6-pase(G-6-Pase) was significantly decreased in N.N treated group. Also the activity of glucokinase(Gk) was significantly increaed in N.N treated group. The content of hepatic glycogen was significantly increaed in N.N treated group, in addition, content of malondialdehyde(MDA) was significanly decreased in N.N treated group. Also, content of glutathione(GSH) was significanly increased in N.N treated froup. whereas, activity of catalase(CAT) was significantly decreaed in N.N treated group compared to the those of STZ-control group. activity of glutathione peroxidase(GSH-Px) was inecreaed. In conclusion, these results indicated that ethanol extract of N.N would have carbohydrate metabolism antioxidative effects in STZ-induced diabetic rats.

ON A PERMUTABLITY PROBLEM FOR GROUPS

  • TAERI BIJAN
    • Journal of applied mathematics & informatics
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    • 제20권1_2호
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    • pp.75-96
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    • 2006
  • Let m, n be positive integers. We denote by R(m,n) (respectively P(m,n)) the class of all groups G such that, for every n subsets $X_1,X_2\ldots,X_n$, of size m of G there exits a non-identity permutation $\sigma$ such that $X_1X_2{\cdots}X_n{\cap}X_{\sigma(1)}X_{/sigma(2)}{\cdots}X_{/sigma(n)}\neq\phi$ (respectively $X_1X_2{\cdots}X_n=X_{/sigma(1)}X_{\sigma(2)}{\cdots}X_{\sigma(n)}$). Let G be a non-abelian group. In this paper we prove that (i) $G{\in}P$(2,3) if and only if G isomorphic to $S_3$, where $S_n$ is the symmetric group on n letters. (ii) $G{\in}R$(2, 2) if and only if ${\mid}G{\mid}\geq8$. (iii) If G is finite, then $G{\in}R$(3, 2) if and only if ${\mid}G{\mid}\geq14$ or G is isomorphic to one of the following: SmallGroup(16, i), $i\in$ {3, 4, 6, 11, 12, 13}, SmallGroup(32, 49), SmallGroup(32, 50), where SmallGroup(m, n) is the nth group of order m in the GAP [13] library.

A GALOIS EXTENSION WITH GALOIS GROUP DIHEDRAL GROUP OR GENERALIZED QUATERNION GROUP

  • Hwang, Yoon-Sung
    • 대한수학회논문집
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    • 제20권4호
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    • pp.641-644
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    • 2005
  • Let L/F be a Galois quadratic extension such that F contains a primitive n-th root of 1. Let N = L(${\alpha}^{{\frac{1}{n}}$) where ${\alpha}{\in}L{\ast}$. We show that if $N_{L/F}({\alpha})\;{\in}L^n{\cap}F$, and [N : L] = m, then $G(N/ F) {\simeq}D_m$ or generalized quaternion group whether $N_{L/F}({\alpha})\;{\in}\;F^n\;or\;{\notin}F^n$, respectively.

심장판막 및 관상동맥 수술시 심근 손상에 대한 비교 (Comparision of Myocardial Injury in Cardiac Valvular and Coronary Surgery)

  • 원경준
    • Journal of Chest Surgery
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    • 제27권9호
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    • pp.738-745
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    • 1994
  • In order to evaluate the myocardial injury in cardiac valvular and coronary surgery, variables of creatine kinase[CK], myocardial band of CK[CK-MB], lactate dehydrogenase[LDH], aspartate aminotrasferase[AST] were measured in the preoperative[Preop], the operation day[POD0], and the first[POD1], third[POD3], fifth[POD5], seventh[POD7], ninth[POD9] day after operation in 29 patients. The subjects were divided into two groups according to the diseases: group V [valvular disease, n=16] and group C[coronary artery disease, n=13]. Each group was subdivided into two subgroups according to the duration of aortic crossclamping time[ACT]; group VI[ACT 120min, n=7] and group VII[ACT>120min, n=9]; group CI[ACT 120min, n=6] and group CII[ACT>120min, n=7]. The results were as followed 1. The values of CK between group V and group C had no significant difference. The values of CK in group CII were significantly greater than those in group CI and the values of CK in group VII were significantly greater than those in group VI. 2. Percentages of CK-MB between groups had no significant difference. 3. The serum levels of LDH in group V were significantly greater than those in group C. The serum levels of LDH in group VII were significantly greater than those in group VI. 4. The serum levels of AST in group VII were significantly greater than that in group VI. We were concluded that myocardial injury was more related with the duration of aortic cross clamping time rather than the type of diseases.

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Imazethapyr 유도체의 제초활성에 미치는 3-(N-methyl-N-(X)-치환-phenylaminooxoacetyl) group의 영향 (Influence of 3-(N-methyl-N-X(sub.)phenylaminooxoacetyl) group on the herbicidal activity of Imazethapyr derivatives)

  • 성낙도;김현재;장해성;김대황
    • Applied Biological Chemistry
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    • 제36권5호
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    • pp.381-386
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    • 1993
  • 새로운 25종의 Imazethapyr 유도체, (2-(4-isopropyl-4-methyl-5-oxo-2-imidazolin-2-yl)-3-(N-methyl-N-(X)치환-phenylaminooxoacetyl)-5-methylpyridine)들을 합성하여 치환기(X) 변화에 따른 발아 전 후, 피(Echinochla crus-galli.)의 제초활성에 미치는 3-(N-mothy-N-(X)치환-phenylaminoozoacetyl) group의 영향을 검토한 바, 발아 전보다 발아 후의 제초활성에 더 큰 영향을 미침을 알 수 있었다. 발아 후의 제초활성은 X-치환기의 전자밀게 효과와 입체상수 $(E_s)$에 의존적이었으며 가장 큰 제초활성을 나타내는 화합물로는 $bulky(E_s<0)$하고 전자밀게$(\sigma<0)$가 치환된 화합물, 15(4-t-butyl group)와 20(3,5-dimethyl group)이었다. 그리고 높은 제초활성을 나타낼 것으로 예상되는 화합물의 조건들이 검토되었다.

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EFFECT OF SUPPLEMENTING UREA MOLASSES MINERAL BLOCK LICK TO STRAW BASED DIET ON DM INTAKE AND NUTRIENT UTILIZATION

  • Garg, M.R.;Gupta, B.N.
    • Asian-Australasian Journal of Animal Sciences
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    • 제5권1호
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    • pp.39-44
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    • 1992
  • Twelve male crossbred calves of 18 months of age were divided into two groups of six each. Animals in both the groups were fed wheat straw ad lib. However, animals in group II had free access to urea molasses mineral block (UMMB) lick. Straw DM intake (kg/100 kg B. Wt. and $g/w^{0.75}\;kg$) was significantly (p < 0.01) higher in group II ($1.95{\pm}0.06$; $75.55{\pm}1.79$) as compared to group I ($1.27{\pm}0.08$; $48.77{\pm}2.43$). Straw DM digestibility coefficient was not significantly different in groups I and II. However, DOMI (kg/100 kg B. Wt.) was significantly (p < 0.01) higher in group II ($0.986{\pm}0.05$) as compared to group I ($0.615{\pm}0.03$). Digestibility coefficient of DM, OM and CP were significantly higher in group II as compared to group I. However, digestibility coefficients of EE, CF and NFE were non-significantly different between the two groups. Animals in group II exhibited significantly (p < 0.01) higher and positive N, Ca and P balances as compared to group I which exhibited negative balances. Total-N, ammonia-N and urea-N in the blood plasma of animals in group II were significantly (p < 0.01) higher as compared to group I.