• Journal of applied mathematics & informatics
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• 제17권1_2_3호
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• pp.217-227
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• 2005

Let G be a finite group and $\#$Cent(G) denote the number of centralizers of its elements. G is called n-centralizer if $\#$Cent(G) = n, and primitive n-centralizer if $\#$Cent(G) = $\#$Cent($\frac{G}{Z(G)}$) = n. In this paper we investigate the structure of finite groups with at most 21 element centralizers. We prove that such a group is solvable and if G is a finite group such that G/Z(G)$\simeq$$A_5$, then $\#$Cent(G) = 22 or 32. Moreover, we prove that As is the only finite simple group with 22 centralizers. Therefore we obtain a characterization of As in terms of the number of centralizers

• Journal of applied mathematics & informatics
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• 제22권1_2호
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• pp.403-410
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• 2006

For a finite group G, #Cent(G) denotes the number of centralizers of its elements. A group G is called n-centralizer if #Cent(G) = n, and primitive n-centralizer if #Cent(G) = #Cent($\frac{G}{Z(G)}$) = n. The first author in [1], characterized the primitive 6-centralizer finite groups. In this paper we continue this problem and characterize the primitive 7-centralizer finite groups. We prove that a finite group G is primitive 7-centralizer if and only if $\frac{G}{Z(G)}{\simeq}D_{10}$ or R, where R is the semidirect product of a cyclic group of order 5 by a cyclic group of order 4 acting faithfully. Also, we compute #Cent(G) for some finite groups, using the structure of G modulu its center.

• 동아시아식생활학회지
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• 제15권1호
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• pp.20-28
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• 2005

The dietary effect of water extracts of Liriopis tuber(WELT) in the diabetic SD-rats on the level of blood sugar and serum cholesterol was investigated. The experimental plots divided into normal group(N), diabetic control(DC), 5% WELT-group(WELT-I) and 10% WELT-group (WELT-II). Each group was fed for 6 weeks, then continuously fed for 1 more week after streptozotocin injection. The loss of the body weight fed for one week after induction of the diabetes was 2.2～6.3% in the WELT-I and -II groups, but it was 18.6% in the DC-group. There was no significant difference in the feed intakes after diabetes induction between N-group and WELT-group, while it was significantly increased in DC-group. The feed efficiency ratios before diabetes induction were 1.70 in WELT-I group, 1.53～1.59 in the N, DC and WELT-II group, while the ratios after diabetes induction were 0.92 in DC-group, 1.51～1.83 in the N, WELT-I and -II group. While the amounts of water intakes for one week after diabetes induction was 625.4 mL in the DC-group, and it were 364.3～371.1 mL in the WELT-groups showing no significant difference with N-group. The excretion amounts of urine were 431.96 mL in DC-group for one week after diabetes induction, and it was 182～192.84 mL in WELT-groups. The ratios of liver weight against body weight were 2.74% in N-group, 2.93～2.96% in WELT-groups, but it was 4.01% in DC-group. The level of blood glucose in WELT-groups fed for one week after diabetes induction were 136.8～138.6 mg/dL showing no significant difference with N-group, but it was 357.8 mg/dL in DC-group. The level of serum triacylglycerol and serum total cholesterol were 93.8 and 68.7 mg/dL in N-group, 120.1 and 101.6 mg/dL in DC-group, 97.4～100.6 and 60.8～67.7 mg/dL in WELT-groups, respectively, showing no significant difference between N-group and WELT-groups. HDL-cholesterol/total cholesterol ratio were 0.63 in N-group, 0.57～0.67 in WELT -groups, which was significantly higher than that of DC-group(p<0.05). Atherogenic index were 0.58 in N-group, 0.49～0.74 in WELT-groups, but it was 1.32 in DC-group. The above results suggest that the WELT diets may have both preventive and curing effects against the diabetes.

• 대한수학회보
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• 제36권1호
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• pp.79-90
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• 1999

In this paper, we show that any product of a closed orientable n-manifold $N_1$ with finite fundamental group and a closed orientable asgerical m-mainfold $N_2$ with hopfian fundamental group, where X($N_1$) and X($N_2$) are nonzero, is a condimension 2 fibrator. Moreover, if <$\pi_i(N_1)$=0 for 1$N_1\timesN_2$ is a codimension k PL fibrator.

• 대한수학회보
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• 제30권1호
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• pp.25-27
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• 1993

In our paper [4] we showed that over bar $A_{n-1}$ is a split extension of (n-1) copies of Z by the symmetric group S$_{n}$ of degree n. We show in this paper how over bar $A_{n-1}$ appears naturally as a subgroup of the natural wreath product W=ZS$_{n}$.TEX> n/.

• 대한한의학회지
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• 제30권1호
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• pp.83-94
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• 2009

Background and Objectives: The skin barrier protects skin against a harmful environment. Its function includes an antimicrobial barrier as well as a physical barrier. Stress is harmful to the skin barrier and there are many studies on this, but there are few about the effect of stress during pregnancy on the skin barrier of offspring. The aim of this study was to investigate the effect of stress during pregnancy on the skin barrier of offspring by examination with the naked eye, cortisol, weight, TEWL and histologic tests. Materials and Methods: Male hairless mice ten weeks old were coupled with females for three days. After twelve days the females were divided into two groups. We stressed one group and not the other group. The offspring from the non-stressed (N group) and stressed (S group) grew up until four weeks. The S group was exposed to chronic mild stress using the chronic stress model protocol modified method of Wilner and Towell for a week. We made examinations with the naked eye, assessment of cortisol, weight, TEWL, and histologic test to contrast the S group with the N group. Statistical analysis was performed by using Mann-Whitney and Friedman test. Statistical significance was achieved if the probability was less than 5% (p<0.05). Results: 1. By making an examination with the naked eye, S group showed papules, creases and dryness on their skin, but N showed no change compared with normal skin. 2. There was no statistically significant difference between S group and N group in cortisol (p>0.05). 3. There was no statistically significant difference between S group and N group in weight. N group had less weight than S group (p<0.05). 4. There was no statistically significant difference between S group and N group in TEWL (p>0.05). 5. There was no statistically significant difference between S group and N group in TEWL recovery (p>0.05). 6. In TEWL and TEWL recovery, there was statistically significant difference by time between S group and N group (p<0.005). Histologically, S group showed a thicker epidermis and epidermal crest than N group. Conclusions: We found that stress during pregnancy has negative effects on the skin barrier of offspring. Though there were no statistically significant differences between S group and N group in TEWL recovery, we found evidence that the recovery of skin barrier function is interrupted by stress during pregnancy by examination with both the naked eye and histology.

• 대한한의학회지
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• 제23권3호
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• pp.85-95
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• 2002

Objectives : Daechu (Dazhui:GV14 (Governor Vessel 14))-point is located between the spinous process of the 7th cervical vertebra and that of the 1st thoracic vertebra. GV14 has been used to treat hypertension, high fever, neck pain, common cold, headache and so on. Hypertension often negatively affects the improvement of stroke patients. We investigated whether wet-cupping at GV14 had any effect of decreasing blood pressure (BP). Methods : In this study, 81 stroke patients were studied, from Oct. 2000 to Sept. 2001. They were composed of a Sample group (n=36) and Control group (n=45). The Sample group (n=36) was divided into Sample-Normal (n=9), Sample-Mild (n=7), Sample-Moderate (n=l1), and Sample-Severe group (n=9). The Control group (n=45) was divided into Control-Moderate (n=34) and Control-Severe group (n=ll). We checked blood pressure 5 times (just before treatment, then after 30,60, 90, and 120min. (2hrs.)) in each sample group and 3 times (baseline, after 30, and after 120min. (2hrs)) in the control group. Results : In a comparison of before-treatment BP and after-treatment BP in the sample group, SBP significantly decreased as time passed, while DBP slightly decreased but not significantly. In comparison of BP differences in each sample subgroup, BP slightly increased in the Sample-Normal group, but significantly decreased in the Sample-Mild, Sample-Moderate, and Sample-Severe groups. In comparison of BP differences between the sample and control groups, SBP and DBP of the sample group definitely decreased more than those of the control group, but not significantly. Conclusions : This study suggests that wet-cupping at GV14 has significant decreasing effectson blood pressure in stroke patients. Accordingly, we hope that this measure will be used more widely as an emergent treatment for increased blood pressure.

• 대한수학회보
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• 제50권4호
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• pp.1193-1200
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• 2013

The center of the Lie group $SU(n)$ is isomorphic to $\mathbb{Z}_n$. If $d$ divides $n$, the quotient $SU(n)/\mathbb{Z}_d$ is also a Lie group. Such groups are locally isomorphic, and their Weyl groups $W(SU(n)/\mathbb{Z}_d)$ are the symmetric group ${\sum}_n$. However, the integral representations of the Weyl groups are not equivalent. Under the mod $p$ reductions, we consider the structure of invariant rings $H^*(BT^{n-1};\mathbb{F}_p)^W$ for $W=W(SU(n)/\mathbb{Z}_d)$. Particularly, we ask if each of them is a polynomial ring. Our results show some polynomial and non-polynomial cases.

• Journal of applied mathematics & informatics
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• 제12권1_2호
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• pp.143-154
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• 2003

A finite group G is called (l, m, n)-generated, if it is a quotient group of the triangle group T(l, m, n) = 〈$\chi$, y, z│$\chi$$\^$l/ = y$\^$m/ = z$^n$ = $\chi$yz = 1〉. In [19], the question of finding all triples (l, m, n) such that non-abelian finite simple group are (l, m, n)-generated was posed. In this paper we partially answer this question for the sporadic group Ru. In fact, we prove that if p, q and r are prime divisors of │Ru│, where p < q < r and$.$(p, q) $\neq$ (2, 3), then Ru is (p, q, r)-generated.

• 대한한의학회지
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• 제22권3호
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• pp.119-128
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• 2001

Objectives: Daechu (Dazhui: GV 14 (Governor Vessel))-point is located between the spinous process of the 7th cervical vertebra and that of the 1st thoracic vertebra. GV 14 has been used to treat high fever, neck pain, common cold, headache and so on. Fever may badly affect the improvement of stroke patients, so we investigated whether wet-cupping at GV 14 had effects on fever. Methods: In this study, 100 stroke patients were studied from Nov. 1999 to Oct. 2000. They were divided into the Sample group (n=49) and Control group (n=5l). The Sample group (n=49) was divided into Sample-Severe (n=2l), Sample-Mild (n=12), and Sample-Normal groups (n=16) and the Control group (n=5l) was divided into Control-Severe (n=8) and Control-Mild (n=43). We checked body temperature 6 times (just before treatment, after 30 ruin., 60, 90, 120 (2 hrs.), and 240 ruin. (4 hrs.)) in the Sample group and 3 times (just before treatment, after 120 min. (2 hrs.), and 240 ruin. (4 hrs.)) in the Control group. Results: In comparison with fever between before treatment and after 2 and 4 hours in each group, fever in the Sample subgroups decreased significantly in all cases, fever in the Control subgroups didn't decrease significantly in most cases except fever after 4 hours in the Control-Mild group. In comparison with fever differences between the Sample and Control group, fever of the Sample group more significantly decreased than that of the Control group in all comparisons. In comparison with fever among sample subgroups, fever of the Sample-Severe group decreased more than that of the Sample-Mild group but it was not significant. Conclusions: This study suggested that wet-cupping at GV 14 has significant effects on fever in stroke patients. We hope that this treatment will be used more widely as an emergent treatment.