• Title/Summary/Keyword: 2-groups

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PROJECTIVE REPRESENTATIONS OF WREATHED 2-GROUPS

  • Chun, Kil-Soo;Park, Seung-Ahn
    • Journal of the Korean Mathematical Society
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    • v.36 no.2
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    • pp.421-430
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    • 1999
  • In this paper we investigate representation groups of wreathed 2-groups and explicitly determine all the linearly inequivalent irreducible projective representations of wreathed 2-groups.

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ON m, n-BALANCED PROJECTIVE AND m, n-TOTALLY PROJECTIVE PRIMARY ABELIAN GROUPS

  • Keef, Patrick W.;Danchev, Peter V.
    • Journal of the Korean Mathematical Society
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    • v.50 no.2
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    • pp.307-330
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    • 2013
  • If $m$ and $n$ are non-negative integers, then three new classes of abelian $p$-groups are defined and studied: the $m$, $n$-simply presented groups, the $m$, $n$-balanced projective groups and the $m$, $n$-totally projective groups. These notions combine and generalize both the theories of simply presented groups and $p^{w+n}$-projective groups. If $m$, $n=0$, these all agree with the class of totally projective groups, but when $m+n{\geq}1$, they also include the $p^{w+m+n}$-projective groups. These classes are related to the (strongly) n-simply presented and (strongly) $n$-balanced projective groups considered in [15] and the n-summable groups considered in [2]. The groups in these classes whose lengths are less than ${\omega}^2$ are characterized, and if in addition we have $n=0$, they are determined by isometries of their $p^m$-socles.

ON THE SOLUTIONS OF EQUATIONS OVER NILPOTENT GROUPS OF CLASS 2

  • Kim, Seong Kun
    • East Asian mathematical journal
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    • v.29 no.3
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    • pp.349-353
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    • 2013
  • In this paper, we study equations over nilpotent groups of class 2. We show that there are some overgroups which contains solutions of equations with exponent sum 1 over nilpotent groups of class 2. As known, equations over a field has a solution in an extension field which contains a copy of the given field. But it is not easy to find that a solution of equations over groups. In many cases, even if equations over groups has a solution, the overgroup is not concrete but very Here we find the concrete overgroups in case of nilpotent groups.

Development of New Protecting Groups for Guanine Residue in Oligodeoxyribonucleotide Synthesis

  • Byung Jo Moon;Kyung Lan Huh
    • Bulletin of the Korean Chemical Society
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    • v.12 no.2
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    • pp.196-199
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    • 1991
  • Attempts were made to develop new protecting groups for 1,6-lactam function of 2-N-acyl guanine in oligodeoxyribonucleotide synthesis. Several acyl groups, aryl groups, and carbamoyl groups were tested. Dimethylcarbamoyl and phenylacetyl groups are shown to be a good combination for guanine residue. 6-O-Di-methylcarbamoyl-2-N-pheylacetyl-2'-deoxy guanosine have been successfully used in the synthesis of d[AAGCTT], which is Hind Ⅲ recognition sequence.

Experimental studies on anti-tumor and immunomodulatory effects according to it's (종양(腫瘍)의 치법(治法)에 관(關)한 실험적(實驗的) 연구(硏究) -부정법(扶正法), 부정거사법(扶正祛邪法), 공사법(攻邪法)의 비교연구(比較硏究)-)

  • Kim, Sun-Hee;Choi, Jong-Baek;Kim, Sang-Chan
    • Herbal Formula Science
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    • v.5 no.1
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    • pp.127-145
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    • 1997
  • This study was aimed to investigate the anti-tumor and immune response effect of Samyongtang(S1; this medicine represents for 'ENERGIZER'), Yangjeongjejeoktang(S2; this is the 'INTERMEDIATE METHOD' of S1 and S3) and Onbeakwon(S3; this is 'ATTACK' the disease of mass) on the experimental rats induced by Sarcoma-180 and Methotrexate. And to observed the differences S1, S2, and S3 treatment groups. Tumor weight(TW) in vivo, interleukin-2(IL-2), hemagglutinin titer(H.A), hemolysin titer(HL), rossete forming cell(RFC), delayed type hypersensitivity(DTH), and natural killer cell activity(NKCA) in vivo were measured in rats. The obtained results were summarized as follows. 1. Tumor weight was decreased in all treatment groups (S2>S3>S1) as compared with control group, but the difference was not statistically significant each treatment groups. 2. Interleukin-2 was increased in all treatment groups (S1>S2>Ss) as compared with control group, but the difference was not statistically significant each treatment groups. 3. Hemagglutinin titer was increased in all treatment groups (S1>S2>S3) as compared with control group, but the difference was not statistically significant each treatment groups. 4. Hemolysin titer was increased in all treatment groups (S1>S2>S3) as compared with control group, but the difference was not statistically significant each treatment groups. 5. Rossete forming cell(RFC) was increased in all treatment groups (S1>S2>S3) as compared with control group, but the difference was not statistically significant each treatment groups. 6. Delayed type hyperseneitivity(DTH) was increased in S1, S2 treatment groups (S1>S2) as compared with control group, but it was decreased in S3 treatment group. Therefore, S1 group was statistically significant compared with S3 groups. 7. Natural killer cell activity(NKCA) was increased in all treatment groups (S2>S3>S1) as compared with control group, but the difference was not statistically significant each treatment groups. Based on the above mentioned results, it is suggested that S1, S2 and S3 will have anti-tumor substances and enhance effect of immune response. But the differences were not statistically significant in each treatment groups, except for delayed type hypersensitivity.

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Effect of Lysine-Limited Diets Containing Different Levels of L-Carnitine on Body Weight and Lipid Metabolism in Obesity-Induced Adult Rats (L-Carnitine의 수준이 다른 Lysine 제한식이 섭취가 비만유도 성숙쥐의 체중과 지질대사에 미치는 영향)

  • Kim, Ja-Kyung;Kim, Mi-Kyung
    • Journal of Nutrition and Health
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    • v.40 no.2
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    • pp.118-129
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    • 2007
  • This study was performed to investigate the effect of lysine-limited diets containing different levels of L-carnitine on body weight and lipid metabolism in obesity-induced adult rats. Eight-month-old male Sprague-Dawley rats (n = 90) were raised for one month with high fat diet (40% fat as calorie) to induce obesity. After induction of obesity, rats weighing 739.5 g were randomly blocked into three groups according to the body weight and raised for eight weeks with control diet (Co), 50% lysine-limited diet (-L), 50% lysine limitation with 0.3% pivalate diet (-L + P). Each of three groups was allotted to 0.0% L-carnitine (0.0% CT), 0.5% L-carnitine (0.5% CT) and 2.5% L-carnitine (2.5% CT) groups, respectively. The levels of AST, ALT, total protein and albumin in plasma were within the normal range. Daily food intake and calorie intake tended to be lower in 2.5% CT groups than those of other groups regardless lysine limitation or pivalate intake. And body weight gain and calorie efficiency ratio (weight gain (g) /calorie intake (100 kcal)) were significantly the lowest in 2.5% CT groups among all experimental groups regardless of lysine limitation or pivalate intake. The weights of perirenal, epididymal fat pads and brown adipose tissue in 2.5% CT groups were significantly lower than 0.0% CT groups. Plasma total lipid, triglyceride, total cholesterol concentrations in all groups were not significant by experimental compound. HDL-cholesterol concentrations in -L + P +2.5% CT group were highest in -L + P groups. Levels of hepatic total lipid, triglyceride and total cholesterol in 2.5% CT groups were tend to be lower those than in 0.0% CT groups regardless of dietary lysine limitation and pivalate intake. Fecal total lipid excretions of 2.5% CT groups were significantly lower than in 0.0% CT groups in all experimental groups. But fecal triglyceride excretions of 2.5% CT groups were significantly higher than 0.0% CT groups regardless of lysine limitation and pivalate. In conclusion, there was no difference on body weight and lipid metabolism by dietary lysine limitation and pivalate intake. And feeding of 2.5% L-carnitine was more effective than feeding of 0.5% L-carnitine and 0.0% L-carnitine in reduction of body weight, body fat and lipid metabolism.

2-ENGELIZER SUBGROUP OF A 2-ENGEL TRANSITIVE GROUPS

  • Moghaddam, Mohammad Reza R.;Rostamyari, Mohammad Amin
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.3
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    • pp.657-665
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    • 2016
  • A general notion of ${\chi}$-transitive groups was introduced by C. Delizia et al. in [6], where ${\chi}$ is a class of groups. In [5], Ciobanu, Fine and Rosenberger studied the relationship among the notions of conjugately separated abelian, commutative transitive and fully residually ${\chi}$-groups. In this article we study the concept of 2-Engel transitive groups and among other results, its relationship with conjugately separated 2-Engel and fully residually ${\chi}$-groups are established. We also introduce the notion of 2-Engelizer of the element x in G and denote the set of all 2-Engelizers in G by $E^2(G)$. Then we construct the possible values of ${\mid}E^2(G){\mid}$.

GEODESIC FORMULA OF A CERTAIN CLASS OF PSEUDORIEMANNIAN 2-STEP NILPOTENT GROUPS AND JACOBI OPERATORS ALONG GEODESICS IN PSEUDORIEMANNIAN 2-STEP NILPOTENT GROUPS

  • Min, B.;Jang, C.;Park, K.
    • East Asian mathematical journal
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    • v.26 no.5
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    • pp.607-614
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    • 2010
  • In this paper, we obtain geodesic formula of a certain class of Pseudoriemmanian 2-step nilpotent groups and show a constancy of represenation matrix of Jacobi oprerators along geodesics in Pseudoriemmanian 2-step nilpotent groups with one dimensional center.

Comparison of Serological and Virological Analysis for Infection Patterns of Porcine Reproductive and Respiratory Syndrome Virus to Establish a Farm Level Control Strategy (돼지 생식기호흡기증후군바이러스의 농장단위 방역대책 수립을 위한 혈청학적 및 바이러스학적 감염유형 분석법 적용 및 비교)

  • Kim, Seong-Hee;Lee, Chang-Hee;Park, Choi-Kyu
    • Journal of Life Science
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    • v.19 no.8
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    • pp.1170-1176
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    • 2009
  • Porcine reproductive and respiratory syndrome virus (PRRSV) has plagued pig populations worldwide causing severe economical impacts. In order to establish effective strategies for prevention of PRRS, infection patterns on the herd level are primarily evaluated. In the present study, therefore, serological and virological analyses were conducted in 20 pig farms suffering from PRRS. Seroprevalence levels in each farm were grouped into 3 patterns: SN (Stable sow groups/Not infected piglet groups, SI (Stable sow groups and Infected piglet groups), and UI (Unstable sow groups and Infected piglet groups). The rates of each serological pattern were 15% (n=3), 10% (n=2), and 75% (n=15), respectively. In addition, the pattern analysis was extended to virological monitoring on the same farms that further included suckling pig groups. As a result, the infection pattern was classified into 4 categories: SNI (Stable sow groups/Not infected suckler groups/Infected piglet groups), SII (Stable sow groups/Infected suckler groups/Infected piglet groups), UNI (Unstable sow groups/Not infected suckler groups/Infected piglet groups), and UII (Unstable sow groups/Infected suckler groups/Infected piglet groups). The rates of each viroprevalence were estimated at 50% (n=10), 30% (n=6), 10% (n=2), and 10% (n=2), respectively. PRRSV viroprevalence results of suckling pig groups revealed that 8 farms were considered virus positive. In 2 farms among these farms, PRRSV appeared to be transmitted vertically to suckling piglets from their sows. In contrast, piglet-to-piglet horizontal transmission of PRRSV seemed to occur in sucking herds of the remaining farms. Thus, this virological analysis on suckling piglets will provide useful information to understand PRRSV transmission routes during the suckling period and to improve a PRRS control programs. Our seroprevalence and viroprevalence data found that infection patterns between sow and piglet groups are not always coincident in the same farm. Remarkably, 15 farms belonging to the UI seroprevalence pattern showed four distinct viroprevalence patterns (SNI; 7, SII; 4, UNI; 2 and UII; 2). Among these farms, 11 farms with unstable seroprevalence sow groups were further identified as the stable viroprevalence pattern. These results indicated that despite the absence of typical seroconversion, PRRSV infection was detected in several farms, implying the limitation of serological analysis. Taken together, our data strongly suggests that both seroprevalence and viroprevalence should be determined in parallel so that a PRRS control strategies can be efficiently developed on a farm level.

FINITE p-GROUPS ALL OF WHOSE SUBGROUPS OF CLASS 2 ARE GENERATED BY TWO ELEMENTS

  • Li, Pujin;Zhang, Qinhai
    • Journal of the Korean Mathematical Society
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    • v.56 no.3
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    • pp.739-750
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    • 2019
  • We proved that finite p-groups in the title coincide with finite p-groups all of whose non-abelian subgroups are generated by two elements. Based on the result, finite p-groups all of whose subgroups of class 2 are minimal non-abelian (of the same order) are classified, respectively. Thus two questions posed by Berkovich are solved.