• 대한수학회지
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• 제56권3호
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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.

• 대한수학회지
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• 제50권2호
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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.

• 대한수학회보
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• 제53권5호
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• pp.1395-1399
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• 2016

We will classify the finite barely non-abelian p-groups.

• Korean Journal of Mathematics
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• 제21권4호
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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.

• Journal of applied mathematics & informatics
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• 제17권1_2_3호
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• pp.245-258
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• 2005

In this paper we prove that the alternating groups A_n, for n = p, p+1, p+2 and symmetric groups $S_n$, for n = p, p+1, where p$\ge$3 is a prime number, can be uniquely determined by their order components. As one of the important consequence of this characterization we show that the simple groups An, where n = p, p+1, P+2 and p$\ge$3 is prime, satisfy in Thompson's conjecture and Shi's conjecture.

• Kyungpook Mathematical Journal
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• 제48권3호
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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.

• Korean Journal of Mathematics
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• 제22권3호
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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).

• 대한수학회보
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• 제51권4호
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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.

• 대한약침학회지
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• 제9권1호
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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.

• Journal of Nutrition and Health
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• 제37권9호
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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.