• Journal for History of Mathematics
• /
• v.12 no.2
• /
• pp.143-149
• /
• 1999

Every finite solvable group is only a subgroup of an M-groups and all M-groups are solvable. Supersolvable group is an M-groups and also subgroups of solvable or supersolvable groups are solvable or supersolvable. But a subgroup of an M-groups need not be an M-groups . It has been studied that whether a normal subgroup or Hall subgroup of an M-groups is an M-groups or not. In this note, we investigate some historical research background on the M-groups and also we give some conditions that a normal subgroup of an M-groups is an M-groups and show that a solvable group is an M-group.

• Journal of the Korean Mathematical Society
• /
• v.57 no.5
• /
• pp.1187-1237
• /
• 2020

Simply reducible groups are important in physics and chemistry, which contain some of the important groups in condensed matter physics and crystal symmetry. By studying the group structures and irreducible representations, we find some new examples of simply reducible groups, namely, dihedral groups, some point groups, some dicyclic groups, generalized quaternion groups, Heisenberg groups over prime field of characteristic 2, some Clifford groups, and some Coxeter groups. We give the precise decompositions of product of irreducible characters of dihedral groups, Heisenberg groups, and some Coxeter groups, giving the Clebsch-Gordan coefficients for these groups. To verify some of our results, we use the computer algebra systems GAP and SAGE to construct and get the character tables of some examples.

• The Korean Journal of Food And Nutrition
• /
• v.4 no.1
• /
• pp.21-34
• /
• 1991

The purposes of this studies were to investigate the effect of dietry Se levels and alcohol administration on the lipid hyperoxidation and the lipid metabolism in the rat. Seventy two male rats of Sprague-Dawley Strain weighting about 58~629 were divided into 12groups. The dietary Se levels were 10, 0.4 and Omg, and the dietary a-tocopherol levels were 150 and 0mg per kg diet, respectively. Alcohol-administrated groups received drinking water solution containing 10% of ethanol from the 3-weeks of experimental periods. The obtained experimental results are summarized as follows. 1. Food intake, body weight gain and food efficiency ratio were significantly lower in H-, L-and alcohol administrated groups(-A) by administrated Se and alcohol in diet. The weight of liver and spleen tended to be greater in H- and alcohol administrated groups. 2. The glutathione values in liver tend to be lower in alcohol or Vit. E administrated groups than nonadministrated groups. Also there were higher in H- and L- than C-groups, but the increasing range decreased due to administrated alcohol. The lipid peroxide values In liver were significantly higher in alcohol groups, and L- and tocopherol groups were higher values. Specially the increasing of lipid peroxide values were significantly effected by alcohol in low Se and Vit. E groups. 3. The contents of total glyceride in plasma were higher in alcohol groups, there were significantly higher values in alcohol administrated groups under low Se and Vit. E groups. The contents of total cholesterol and HDL-cholesterol In plasma were significantly higher in alcohol groups. 4. The contents of total lipid in liver were higher alcohol groups, and slightly higher values in low Se groups(L-groups) than other groups, also higher values in low Vit. E groups. Those of total glyceride in liver were significantly higher in alcohol groups, appeared highest values when alcohol was administrated in low Se and Vit. E groups. The increasing of total glyceride content was significantly effected by alcohol in low Se groups than that in C-groups.

• Journal of the Korean Mathematical Society
• /
• v.50 no.2
• /
• pp.307-330
• /
• 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.

• Journal of the Korean Mathematical Society
• /
• v.45 no.6
• /
• pp.1741-1752
• /
• 2008

Grossman [7] showed that certain cyclically pinched 1-relator groups have residually finite outer automorphism groups. In this paper we prove that tree products of finitely generated free groups amalgamating maximal cyclic subgroups have residually finite outer automorphism groups. We also prove that polygonal products of finitely generated central subgroup separable groups amalgamating trivial intersecting central subgroups have residually finite outer automorphism groups.

• Journal of Nutrition and Health
• /
• v.20 no.4
• /
• pp.225-236
• /
• 1987

This study was performed to investigate the effects of lead poisoning and different levels of dietary lipid on lead and lipid metabolism in the rats. Forty eight male weanling rats of Sprague-Dawley strain weighing 73.1$\pm$11.1g were blocked into 6 groups according to body weight. Dietary lipid were given at the lev딘 of 5, 20 and 40% of total caloric intake and lead were either administered or not. The results obtained are summerized as follows ; 1) Food intake, weight gain, F.E.R. liver and epididymal. fat pad weights, weight and length of bone, hematocrit and hemoglobin content in Pb-adminstered groups were lower than these in Pb-free groups. 2) Plasma lipid and cholesterol levels were tended to be higher in Pb-administered groups than in Pb-free groups, while liver lipid and cholesterol levels were tended to be lower in Pb-adminstered groups. 3) Fecal dry matter excretion was tended to be higher in Pb-adminstered groups than in Pb-free groups, and were increased with increasing dietary lipid level. Daily fecal excretions of lipid and cholesterol were higher in high lipid groups than in low lipid groups and these levels were even higher in the animals exposed to Pb than in Pb-free groups. 4) Pb contents in blood, liver, kidney and bone were significantly higher in Pb administered groups than in Pb-free groups. Pb levels of blood, liver and bone did not show any significant difference among groups with different levels of dietary lipid, but Pb concentration in kidney of Pb-adminstered groups increased with increasing dietary lipid level.

• Journal of Nutrition and Health
• /
• v.19 no.4
• /
• pp.224-232
• /
• 1986

This study was performed to investigate the effects of different kinds of dietary protein [plant protein ; Isolated Soy Protein(ISP), animal protein ; casein] on protein and lipid metabolism in rats fed with coffee and/or methionine in diet during four weeks of growing period after weanling. Forty male growing rats fo Sprague-Dawley strain, weighing 92.5$\pm$1.8g, were distributed into 8 groups by randomized complete block design, and fed diets containing 15% of protein by weight either as ISP or casein and 10% ofcalories as corn oil, supplemented with coffee and /or methionine for 4 weeks. Coffee were added at a concentration of 1.4% of diet as instant coffee, and methionine were added to ISP or casein diet to be 0.6% of diet as DL-methionine. Results were followed ; Body weight gain, F.E. R and P.E.R tanded to be higher in methionine added groups than non-methionine groups. The nitrogen content of feces was significantly higher in coffee groups than non-coffee groups, and tended to be higher in ISP groups than casein groups. but was not significantly different with or without methionine. thus, apparent protein digestilbity was significantly lower in coffee groups than non-coffee groups and was significantly lower in ISP groups than cesein groups, but was not significantly different with or without methionine. Total cholesterol content of serum tended to be higher in coffee groups than non-coffee groups, and tended to be lower in methionine groups than non-methionine groups.

• The Korean Journal of Community Living Science
• /
• v.15 no.3
• /
• pp.113-120
• /
• 2004

This study is to investigate the effect of dietary L-carnitine supplementation on lipid metabolism in rats fed with isolated soy protein and casein for their source of protein. Four experimental groups were organized and each group had eight Sprague-Dawley male rats with the initial weight of around 180g. The four groups were CO (casein only supplemented group); CC (casein and 3% L-carnitine supplemented group); ISO (isolated soy protein only supplemented group); ISC (isolated soy protein and 3% L-carnitine supplemented group). All groups were supplemented with the experimental diet for four weeks and carnitine comprised 3% of. their diet. The results were as follows; 1. There was no significant difference in food intake among the groups. 2. Final weight gain was significantly lower in the groups supplemented with isolated soy protein than in the groups supplemented with casein (P<0.05). The groups with supplemented casein and carnitine showed the effect of weight reduction (p<0.05). 3. Food efficiency ratio was lower in the groups supplemented with isolated soy protein than in the groups supplemented with casein (p<0.01). The groups supplemented with casein and carnitine showed low food efficiency ratio. 4. The serum total lipid was higher in the groups supplemented with casein than in the groups supplemented with isolated soy protein (p<0.05). 5. Serum total cholesterol was higher in the groups supplemented with casein than in the groups supplemented with isolated soy protein. 6. There was no significant difference in triglyceride, HDL-cholesterol, and LDL-cholesterol in serum among the groups. 7. Out of the groups supplemented with isolated soy protein the total cholesterol level in liver was low in the groups to which carnitine was supplemented (p< 0.05). However, there was no significant difference of liver total lipid and triglyceride among the groups. 8. There was no difference in TBARS levels and GSH-Px activities in liver among the groups.

• Bulletin of the Korean Mathematical Society
• /
• v.45 no.1
• /
• pp.45-52
• /
• 2008

We show that certain polygonal products of any four groups, amalgamating central subgroups with trivial intersections, have Property E. Using this result, we derive that outer automorphism groups of polygonal products of four polycyclic-by-finite groups, amalgamating central subgroups with trivial intersections, are residually finite.

• Journal of Nutrition and Health
• /
• v.38 no.8
• /
• pp.637-648
• /
• 2005

This study was performed to investigate the effect of feeding garcinia cambogia extract (HCA) and/or L-carnitine and exercise (swimming) on body weight in rats. Forty-eight male rats (Charles River CD (SD) IGS) of eight weeks old and weighing $323.5\pm2.4g$ were raised for two months with high fat diet ($40\%$ fat as calorie) to induce obesity. After induction of obesity, rats weighing $552.8\pm5.8g$ were blocked into eight groups according to body weight and raised for six weeks with diet containing HCA and/or L-carnitine. Plasma aspartate aminotransferase, alanine aminotransferase, total protein and albumin levels were in normal ranges. Food and calorie intakes of H + C and H + C/H groups were highest among non-exercise (m) groups and exercise (I) groups. Food and calorie intakes of m groups were higher than those of I groups. E groups showed significantly lower body weight gain and calorie efficiency ratio than m groups and H/E group was the lowest among all groups. Perirenal fat pad weights of E groups were lower than m groups, and epididymal fat pad weights of H and H + C groups were lower than CO and C groups among m groups regardless of exercise treatment. Brown adipose tissue weights of I groups were higher than fn groups and highest in H/E group among all groups. Liver citrate lyase activities of H and C groups were lower than CO and H + C groups regardless of exercise treatment. The differences between NE groups and E groups were not found to be significantly. Liver carnitine acyltranferase activity was not significantly different among all groups. Fecal total lipid, triglyceride and total cholesterol excretions were found to be higher in H and H + C uoups compared to CO and C groups both in NE and E animals, those of lipid excretions of NE groups were higher than E groups. In conclusion, HCA was more effective in reduction of body weight and body fat than L-carnitine or HCA + L-carnitine. HCA ingestion with exercise was far more effective than without exercise treatment in reducing body weight and body fat.