• 대한수학회보
• /
• 제48권6호
• /
• pp.1147-1155
• /
• 2011

In J. Korean Math. Soc, Zhang, Xu and other authors investigated the following problem: what is the structure of finite groups which have many normal subgroups? In this paper, we shall study this question in a more general way. For a finite group G, we define the subgroup $\mathcal{A}(G)$ to be intersection of the normalizers of all non-cyclic subgroups of G. Set $\mathcal{A}_0=1$. Define $\mathcal{A}_{i+1}(G)/\mathcal{A}_i(G)=\mathcal{A}(G/\mathcal{A}_i(G))$ for $i{\geq}1$. By $\mathcal{A}_{\infty}(G)$ denote the terminal term of the ascending series. It is proved that if $G=\mathcal{A}_{\infty}(G)$, then the derived subgroup G' is nilpotent. Furthermore, if all elements of prime order or order 4 of G are in $\mathcal{A}(G)$, then G' is also nilpotent.

• 대한수학회보
• /
• 제52권2호
• /
• pp.363-366
• /
• 2015

In this note, we prove Gluck's conjecture and Isaacs-Navarro-Wolf Conjecture are true for the solvable groups with disconnected graphs by using Lewis' group structure theorem with respect to the disconnected character degree graphs.

• 대한치과보철학회지
• /
• 제45권4호
• /
• pp.546-554
• /
• 2007

Statement of problem: Die materials require abrasion resistance, dimensional stability with time, and high surface wettability for adequate material properties. Wear of gypsum materials is a significant problem in the fabrication of accurately fitting cast prosthetic devices. So It has been recommended that the use of die hardener before carving or burnishing of the wax pattern. Purpose: The purpose of this study was to compare the abrasion resistance and surface microhardness(Knoop) with 3 commonly used gypsum die materials(MG Crystal Rock, Super plumstone, GC $FUJIROCK^{(R)}$ EP) with and without the application of 2 die hardeners. Material and methods: Three die materials were evaluated for abrasion resistance and surface microhardness after application of 2 die hardeners(Die hardener and Stone die & plaster hardener). Thirty specimens of each gypsum material were fabricated using an impression of resin die(Pattern resin; GC Corporation, Japan) with 1-mm high ridges, sloped 90 degrees. Gypsum materials were mixed according to manufacturer's recommendations and allowed to set 24 hours before coating. Specimens were arbitrary assigned to 1 of 3 treatment subgroups (n=10/subgroup): no treatment(control), coated with Die hardener, and coated with Stone die & plaster hardener. Abrasion resistance(measured by weight loss) was evaluated using device in 50g mass perpendicular to the ridges. Knoop hardness was determined by loading each specimen face 5 times for 15 seconds with a force of 50g. A scanning electron microscope was used to evaluate the surface of specimens in each treatment subgroup. Conclusions: The obtained results were as follows: 1. 3 types of die stone evaluated in this study did not show significant differences in surface hardness and abrasive resistance(P<.05). 2. In the abrasive resistance test, there were no significant differences between GC $FUJIROCK^{(R)}$ EP and MG Crystal Rock with or without 2 die hardener(P<.05). 3. Super plumstone treated with Stone die & plaster hardener showed increased wear loss(P<.05) 4. Die hardener coatings used in this study decreased the surface hardness of the gypsum material(P<.05).

• 한국환경보건학회지
• /
• 제49권3호
• /
• pp.149-158
• /
• 2023

Background: Injury is one of the major health problems in South Korea. Few studies have evaluated both intentional and unintentional injury when investigating the association between exposure to air pollutants and injury. Objectives: We aimed to explore the association between short-term exposure to ambient air pollution and years of life lost (YLLs) due to injury. Methods: Data on daily YLLs for 2002~2019 were obtained from the the Death Statistics Database of the Korean National Statistical Office. This study estimated short-term exposure to particulate matter with an aerodynamic diameter of <10 ㎛ (PM₁₀), particulate matter with an aerodynamic diameter of <2.5 ㎛ (PM_2.5), sulfur dioxide (SO₂), nitrogen dioxide (NO₂), carbon monoxide (CO), and ozone (O₃). This time series study was conducted using a generalized additive model (GAM) assuming a Gaussian distribution. We also evaluated a delayed effect of ambient air pollution by constructing a lag structure up to seven days. The best-fitting lag was selected based on smallest generalized cross validation (GCV) value. To explore effect modification by intentionality of injury (i.e., intentional injury [self-harm, assault] and unintentional injury), we conducted stratified subgroup analyses. Additionally, we stratified unintentional injury by mechanism (traffic accident, fall, etc.). Results: During the study period, the average daily YLLs due to injury was 307.5 years. In the intentional injury, YLLs due to self-harm and assault showed positive association with air pollutants. In the unintentional injury, YLLs due to fall, electric current, fire and poisoning showed positive association with air pollutants, whereas YLLs due to traffic accident, mechanical force and drowning/submersion showed negative associations with air pollutants. Conclusions: Injury is recognized as preventable, and effective strategies to create a safe society are important. Therefore, we need to establish strategies to prevent injury and consider air pollutants in this regard.

• 구강회복응용과학지
• /
• 제39권4호
• /
• pp.187-194
• /
• 2023

목적: 포스트와 포스트 공간의 크기 불일치는 포스트 수복 중 흔히 발생하는 문제이며, 이러한 불일치는 섬유강화 복합레진 포스트의 결합강도에 영향을 미치기 때문에 이를 보상할 수 있는 적절한 접착 시멘트가 필요하다. 연구의 목적은 섬유강화 복합레진 포스트의 결합강도에 영향을 미치는 포스트 공간의 적합도와 접착 시멘트 종류에 따른 영향을 평가하는 것이다. 연구 재료 및 방법: 발거된 30개의 하악소구치를 근관 치료한 뒤, 준비된 포스트 공간에 따라 Fitting (F)과 Mismatching (M)의 두 그룹으로 분류했다. 이들 그룹은 접착 시멘트 종류에 따라 다시 RelyX Unicem (ReX), Luxacore dual (Lux) 및 Duolink (Duo)의 세 가지 하위 그룹으로 추가로 분류했다. 이후 시편을 만들어 만능 물성 시험기 상에서 결합 강도를 측정했고 각 시편의 파절 양상을 관찰하여 분류했다. 결과: 실험의 결과로 ReX 및 Duo 하위 그룹에서는 F 그룹의 평균 결합 강도가 더 높았다. 그러나 Lux 하위 그룹은 F 그룹과 M 그룹 간에 큰 차이가 없었다. 파절 양상 분석에서 ReX 하위 그룹은 시멘트와 상아질 사이의 접착 실패만 관찰되었다. 결론: 본 연구 결과, 섬유강화 복합레진 포스트의 결합강도는 접착 시멘트의 종류, 포스트 공간과 포스트 직경의 불일치에 의해 영향을 받는 것으로 나타났다. Rex는 다른 접착 시멘트와 비교 시 유의하게 높은 결합강도를 보였다. 포스트 직경은 모든 그룹에서 F그룹이 M그룹보다 높은 결합강도를 보였으며, 이 값은 ReX와 Duo 두 그룹에서 유의한 것으로 나타났다.