• Title, Summary, Keyword: p-groups

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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.

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 ALMOST n-SIMPLY PRESENTED ABELIAN p-GROUPS

  • Danchev, Peter V.
    • Korean Journal of Mathematics
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    • v.21 no.4
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    • pp.401-419
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    • 2013
  • Let $n{\geq}0$ be an arbitrary integer. We define the class of almost n-simply presented abelian p-groups. It naturally strengthens all the notions of almost simply presented groups introduced by Hill and Ullery in Czechoslovak Math. J. (1996), n-simply presented p-groups defined by the present author and Keef in Houston J. Math. (2012), and almost ${\omega}_1-p^{{\omega}+n}$-projective groups developed by the same author in an upcoming publication [3]. Some comprehensive characterizations of the new concept are established such as Nunke-esque results as well as results on direct summands and ${\omega}_1$-bijections.

Residual P-Finiteness of Certain Generalized Free Products of Nilpotent Groups

  • Kim, Goan-Su;Lee, Young-Mi;McCarron, James
    • Kyungpook Mathematical Journal
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    • v.48 no.3
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    • pp.495-502
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    • 2008
  • We show that free products of finitely generated and residually p-finite nilpotent groups, amalgamating p-closed central subgroups are residually p-finite. As a consequence, we are able to show that generalized free products of residually p-finite abelian groups are residually p-finite if the amalgamated subgroup is closed in the pro-p topology on each of the factors.

Effects of Sedang-hwan on Experimental Diabetic Rats induced by Streptozotocin (세당환(世糖丸)이 Streptozotocin으로 유발된 흰쥐의 실험적 당뇨에 미치는 영향)

  • Bae, Chul-Ho;Soh, Kyeong-Sun;Jeong, Chan-Gil
    • Journal of Pharmacopuncture
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    • v.9 no.1
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    • pp.33-44
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    • 2006
  • Objectives : We performed this study in order to investigate the effects of Sedang-hwan(世糖丸) on the diabetes mellitus. Methods : We injected a vein with 65mg/kg of streptozotocin(STZ) on the rats. And then administered Sedang-hwan; 18.7mg/kg/day to sample groups and observed the weight and glucose level, insulin, C-peptide, triglyceride, albumin, T-protein, BUN(Blood Urea Nitrogen) and creatinine in blood. Results : 1. The sample groups showed a high suppressive effect of weight loss(P=0.002). 2. The sample groups' glucose level showed a effective in lowering level(P=0.001). 3. The sample groups showed a higher insulin level than control groups. 4. The sample groups showed a higher C-peptide level than control groups(P=0.001). 5. The sample groups' triglyceride level showed a effective in lowering level. 6. The sample groups showed a higher HDL-cholesterol level than control groups(P<0.001). 7. The sample groups showed a higher T-protein level than control groups(P=0.04). 8. The sample groups showed a higher albumin level than control groups(P<0.001). 9. The sample groups' creatinine level showed a effective in lowering level(P=0.04). 10. The sample groups' BUN level showed a effective in lowering level(P=0.03). Conclusions : Conclusively, Sedang-hwan was recognized to have decrease effect of serum glucose, triglyceride, creatinine, BUN of the diabetic rats induced by streptozotocin. It was suggested that Sedang-hwan can be used for effective diabetes mellitus medical treatment. It is also required to study further about detailed principles of blood-sugar dropping effect by Sedang-hwan, and recovery by diabetes mellitus.

ON ALMOST ω1-pω+n-PROJECTIVE ABELIAN p-GROUPS

  • Danchev, Peter V.
    • Korean Journal of Mathematics
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    • v.22 no.3
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    • pp.501-516
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    • 2014
  • We define the class of almost ${\omega}_1-p^{\omega+n}$-projective abelian p-primary groups and investigate their basic properties. The established results extend classical achievements due to Hill (Comment. Math. Univ. Carol., 1995), Hill-Ullery (Czech. Math. J., 1996) and Keef (J. Alg. Numb. Th. Acad., 2010).

RELATIVE RELATION MODULES OF FINITE ELEMENTARY ABELIAN p-GROUPS

  • Yamin, Mohammad;Sharma, Poonam Kumar
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.4
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    • pp.1205-1210
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    • 2014
  • Let E be a free product of a finite number of cyclic groups, and S a normal subgroup of E such that $$E/S{\sim_=}G$$ is finite. For a prime p, $\hat{S}=S/S^{\prime}S^p$ may be regarded as an $F_pG$-module via conjugation in E. The aim of this article is to prove that $\hat{S}$ is decomposable into two indecomposable modules for finite elementary abelian p-groups G.

Effect of $\alpha$-carotene Supplementation on Lipid Peroxides and Antioxidative Enzyme Activities in Hyperlipidetmic Rats ($\alpha$-carotene 첨가식이가 고지혈증 쥐의 지질과산화물과 항산화효소 활성에 미치는 영향)

  • Song Young-Ok;Chyun Jong-Hee
    • Journal of Nutrition and Health
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    • v.37 no.9
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    • pp.771-779
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    • 2004
  • This study was performed to investigate the effect of dietary $\beta$-carotene supplementation on lipid metabolism and antioxidant enzyme activities in hyperlipidemic rats. Fifty Sprague-Dawley male rats aging 7 weeks were fed the control diet (CD,5% corn oil) and the high fat diet (HFD,15% beef tallow +1% cholesterol) for 4 weeks and then 0.02% $\beta$-carotene was supplemented to CD and HFD group for 8 more weeks. Serum lipid compositions, lipid peroxides and antioxidative enzymes in liver were analyzed at 4, 8 and 12week of the experiment. Serum levels of total lipid, total cholesterol, triglyceride, LDL-cholesterol, VLDL-cholesterol were higher in HFD groups than in CD groups (p < 0.001), Serum levels of HDL-cholesterol were higher in CD groups than in HFD groups (p < 0.01) . The effect of $\beta$-carotene supplementation was not significant in all groups but tended to be lower in total lipid, total cholesterol and Triglyceride. Thiobarbituric acid reactive substances (TBARS) levels in plasma and liver were showed significantly higher in HFD groups (p < 0.001, p < 0.05). The effects of $\beta$-carotene supplementation on the level of plasma and liver TBARS were not found except HFD groups at 12 week. Liver conjugated diene levels in HFD groups were higher than in CD groups (p < 0.01), but the effect of $\beta$-carotene supplementation did not show any differences. Liver lipofuscin levels were not significantly different among all groups. The activities of superoxide dismutase (SOD) and catalase were significantly lower in HFD groups at 8 week (p < 0.001) but were not significantly different at 4 and 12week. The activity of SOD in $\beta$-carotene supplemented HFD group was significantly higher at 8 week (p < 0.01). Glutathione peroxidase (GSH-Px) activity was significantly lower in HFD groups (p < 0.01) and was significantly increased in groups supplemented $\beta$-carotene (p < 0.05). It is suggested that $\beta$-carotene supplementation partly decreases the serum lipid and lipid peroxide levels and increases the activities of antioxidant enzymes in hyperlipidemic rats.

Anesthetic and Cardiopulmonary Effects of Propofol as Infusion and Induction Anesthesia in Dogs (개에서 주사 및 도입마취제로서 Propofol의 마취효과 및 심폐기능에 미치는 영향)

  • Yoo, Jun-ho;Lee, Chung-ho;Kim, Wan-Hee;Nam, Tchi-chou;Kweon, Oh-kyeong
    • Korean Journal of Veterinary Research
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    • v.42 no.1
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    • pp.123-130
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    • 2002
  • To investigate the cardiopulmonary and anesthetic effects of propofol in dogs, experimental dogs were randomly divided into 4 groups (propofol infusion anesthesia, P/INF, propofol intermittent anesthesia, P/INTER, propofol induction anesthesia, P/ISO, thiopental Na induction anesthesia, T/ISO) and monitored analgesic and anesthetic effects, recovery time, body temperature, heart rate, mean arterial pressure, respiratory rate, systolic and diastolic pressure. In all groups, apnea was not observed. In the P/INF group, the respiratory rate(RR) was slightly decreased, but in the P/INTER group, RR was increased and shallowing. In the groups of P/ISO and T/ISO, the respiratory rate was decreased. Heart rate(HR) was increased after induction anesthesia in all groups, but gradually decreased. Mean arterial pressure(MAP) was decreased after injection anesthesia in the groups of P/INF and P/INTER. In the groups of P/ISO and T/ISO, however, MAP was slightly increased. Systolic and diastolic arterial pressure were gradually decreased after induction anesthesia, but not significantly. In the groups of P/INF and P/ISO, recovery time was shorter than the groups of P/INTER and T/ISO. In all groups, body temperature of animals was decreased gradually according to time but no significant changes were observed. Propofol injection doesn't make the complete loss of responses of animals, especially, in the P/INTER group. In the P/INF group, deep pain was present until the end of anesthetic period. During recovery period, any other side effects except incoordination were not monitored. The present study suggested that infusion anesthesia was superior to intermittent anesthesia as injection anesthetic agent, and propofol was better than thiopental Na as induction anesthetic agent.