• Title/Summary/Keyword: cyclic subgroups

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CONJUGACY SEPARABILITY OF CERTAIN GENERALIZED FREE PRODUCTS OF NILPOTENT GROUPS

  • Kim, Goansu;Tang, C.Y.
    • Journal of the Korean Mathematical Society
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    • v.50 no.4
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    • pp.813-828
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    • 2013
  • It is known that generalized free products of finitely generated nilpotent groups are conjugacy separable when the amalgamated subgroups are cyclic or central in both factor groups. However, those generalized free products may not be conjugacy separable when the amalgamated subgroup is a direct product of two infinite cycles. In this paper we show that generalized free products of finitely generated nilpotent groups are conjugacy separable when the amalgamated subgroup is ${\langle}h{\rangle}{\times}D$, where D is in the center of both factors.

An Empirical Research on the Effect of Social Scaffolding of Virtual Community on its Growth and Thrift (가상 커뮤니티의 사회적 기반요소가 커뮤니티 활성화에 미치는 영향에 관한 실증 연구)

  • 김효근;이경연;강소라
    • Journal of Information Technology Applications and Management
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    • v.10 no.1
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    • pp.35-46
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    • 2003
  • This study focuses on the effect of Social Scaffolding of virtual community on its growth and thrift. The research model proposed in this study is that communities, which have goof social scaffolding, tend to grow and thrive. Social Scaffolding refers to those aspects of a site Purpose, Places, Profiles, leaders, Roles, Rules, Cyclic Events, integrating with the real world, and Subgroups. The data were collected from 100 virtual communities in Daum Communications and analyzed in this study. Multiple regression is used to analyze the relationship of variables. The result is following ; purpose, loaders, rules, integrating with the real world support the effects of social scaffolding of virtual community on its growth and thrift, but profiles, roles, cyclic events do not. The result of this study implies the importance of social scaffolding of virtual community for re-searches, and developers.

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COMMUTING AUTOMORPHISM OF p-GROUPS WITH CYCLIC MAXIMAL SUBGROUPS

  • Vosooghpour, Fatemeh;Kargarian, Zeinab;Akhavan-Malayeri, Mehri
    • Communications of the Korean Mathematical Society
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    • v.28 no.4
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    • pp.643-647
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    • 2013
  • Let G be a group and let $p$ be a prime number. If the set $\mathcal{A}(G)$ of all commuting automorphisms of G forms a subgroup of Aut(G), then G is called $\mathcal{A}(G)$-group. In this paper we show that any $p$-group with cyclic maximal subgroup is an $\mathcal{A}(G)$-group. We also find the structure of the group $\mathcal{A}(G)$ and we show that $\mathcal{A}(G)=Aut_c(G)$. Moreover, we prove that for any prime $p$ and all integers $n{\geq}3$, there exists a non-abelian $\mathcal{A}(G)$-group of order $p^n$ in which $\mathcal{A}(G)=Aut_c(G)$. If $p$ > 2, then $\mathcal{A}(G)={\cong}\mathbb{Z}_p{\times}\mathbb{Z}_{p^{n-2}}$ and if $p=2$, then $\mathcal{A}(G)={\cong}\mathbb{Z}_2{\times}\mathbb{Z}_2{\times}\mathbb{Z}_{2^{n-3}}$ or $\mathbb{Z}_2{\times}\mathbb{Z}_2$.

The effects of autoclave sterilization on the cyclic fatigue resistance of ProTaper Universal, ProTaper Next, and ProTaper Gold nickel-titanium instruments

  • Ozyurek, Taha;Yilmaz, Koray;Uslu, Gulsah
    • Restorative Dentistry and Endodontics
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    • v.42 no.4
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    • pp.301-308
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    • 2017
  • Objectives: It was aimed to compare the cyclic fatigue resistances of ProTaper Universal (PTU), ProTaper Next (PTN), and ProTaper Gold (PTG) and the effects of sterilization by autoclave on the cyclic fatigue life of nickel-titanium (NiTi) instruments. Materials and Methods: Eighty PTU, 80 PTN, and 80 PTG were included to the present study. Files were tested in a simulated canal. Each brand of the NiTi files were divided into 4 subgroups: group 1, as received condition; group 2, pre-sterilized instruments exposed to 10 times sterilization by autoclave; group 3, instruments tested were sterilized after being exposed to 25%, 50%, and 75% of the mean cycles to failure, then cycled fatigue test was performed; group 4, instruments exposed to the same experiment with group 3 without sterilization. The number of cycles to failure (NCF) was calculated. The data was statistically analyzed by using one-way analysis of variance and post hoc Tukey tests. Results: PTG showed significantly higher NCF than PTU and PTN in group 1 (p < 0.05). Sterilization significantly increased the NCF of PTN and PTG (p < 0.05) in group 2. PTN in group 3 had significantly higher cyclic fatigue resistance than PTN group 4 (p < 0.05). Also, significantly higher NCF was observed for PTG in group 2 than in groups 3 and 4 (p < 0.05). Conclusions: PTG instrument made of new gold alloy was more resistant to fatigue failure than PTN and PTU. Autoclaving increased the cyclic fatigue resistances of PTN and PTG.

Long Term Follow-Up of Cyclic Vomiting Syndrome (주기성 구토증(cyclic vomiting syndrome)의 장기 추적 관찰 -이형 편두통(migraine variant)으로의 이행 과정인가?-)

  • Hwang, Jin-Bok;Oh, Hee-Jong;Choi, Kwang-Hae
    • Pediatric Gastroenterology, Hepatology & Nutrition
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    • v.3 no.1
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    • pp.75-83
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    • 2000
  • Cyclic vomiting syndrome(CVS) is a disorder of unknown etiology that is characterized by its clinical pattern of intermittent episodes of severe vomiting, similar in time of onset and duration, with no symptoms during the intervening period. By definition, CVS is an idiopathic disorder that requires exclusionary laboratory testing. Not only can it be mimicked by many specific disorders, eg, surgical, neurologic, endocrine, metabolic, renal, but within idiopathic CVS there may be specific subgroups that have different mechanisms. It has been reported that CVS usually begins in toddlers and resolves during adolescence. Migraine is also self-limiting episodic condition of children and the clinical features of migraine and CVS show considerable similarity. It is proposed that CVS is a condition related to migraine. This paper reports clinical courses of long term follow-up and reversible EEG changes in three patients whose history included CVS. Clinical situations of attack interval, duration and associated symptoms had changed variablely in each patients through long term follow-up period. Cyclic vomiting subsided in two cases. Abnormal delta activity was seen during episodes and resolved at follow-up, when the patient asymptomatic. The brain wave changes support the interpretation of CVS as a migraine variant.

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Difference in Isoproterenol-Stimulated Cyclic AMP Levels of Lymphocytes between the Subgroups of Depressive Disorders (우울장애 아형간에 Isoproterenol 자극후 임파구 Cyclic AMP Levels의 차이)

  • Bahk, Won-Myong;Jeon, Yang-Whan;Kim, Kwang-Soo;Sung, Yang-Sook
    • Korean Journal of Biological Psychiatry
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    • v.3 no.1
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    • pp.46-50
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    • 1996
  • This study was designed to examine the basal cyclic AMP levels and the $10^{-5}mol/L$ isoproterenol-stimulated cyclic AMP levels of lymphocytes, by which ${\beta}$-adrenoceptor function was shown, between to normal controls and 17 drug free patients(8 major depresive patients and 9 dysthymic patients), who were diagnosed by DSM-III-R. The severity of depression was assessed by Hamilton Rating Scale for Depression (HDRS). Cyclic AMP levels were measured by radioimmunoassay(double antibody). The results were as follows ; 1) HDRS score was significantly higher in major depressive patients($41.8{\pm}4.6$) than in dysthymic patients($24.0{\pm}4.2$)(p<005). 2) There was no Significant difference in basal cyclic AMP levels among normal controls($3.9{\pm}1.7pmol/10^6cells/10min$), major depressive patients($2.1{\pm}0.5pmol/10^6cells/10min$), and dysthymic patients($3.9{\pm}1.8pmol/10^6cells/10min$). 3) There was significant difference in net cyclic AMP levels($10^{-5}mol/L$ isoproterenol-stimulated cyclic AMP levels minus basal cyclic AMP levels) among normal controls($16.5{\pm}6.0pmol/10^6cells/10min$), major depressive patients($3.0{\pm}1.4pmol/10^6cells/10min$), dysthymic patients($10.9{\pm}4.4pmol/10^6cells/10min$)(p <005). 4) The net cyclic AMP levels were significantly correlated with HDRS scores in major depressive patients(${\gamma}=-0.8^6$, p<0.05), but not in dysthymic patients(${\gamma}=0.43$, p=0.25). In conclusion, we suggested that the dysthymic disorder might differ from the molar depressive disorder not only in the severity of depressive symptoms but also in ${\beta}$-adrenergic responsiveness of lymphocytes, which was regarded as a biological marker of depressive disorder.

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Loosening torque of Universal Abutment screws after cyclic loading: influence of tightening technique and screw coating

  • Bacchi, Atais;Regalin, Alexandre;Bhering, Claudia Lopes Brilhante;Alessandretti, Rodrigo;Spazzin, Aloisio Oro
    • The Journal of Advanced Prosthodontics
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    • v.7 no.5
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    • pp.375-379
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    • 2015
  • PURPOSE. The purpose of this study was to evaluate the influence of tightening technique and the screw coating on the loosening torque of screws used for Universal Abutment fixation after cyclic loading. MATERIALS AND METHODS. Forty implants (Titamax Ti Cortical, HE, Neodent) (n=10) were submerged in acrylic resin and four tightening techniques for Universal Abutment fixation were evaluated: A - torque with 32 Ncm (control); B - torque with 32 Ncm holding the torque meter for 20 seconds; C - torque with 32 Ncm and retorque after 10 minutes; D - torque (32 Ncm) holding the torque meter for 20 seconds and retorque after 10 minutes as initially. Samples were divided into subgroups according to the screw used: conventional titanium screw or diamond like carbon-coated (DLC) screw. Metallic crowns were fabricated for each abutment. Samples were submitted to cyclic loading at $10^6$ cycles and 130 N of force. Data were analyzed by two-way ANOVA and Tukey's test (5%). RESULTS. The tightening technique did not show significant influence on the loosening torque of screws (P=.509). Conventional titanium screws showed significant higher loosening torque values than DLC (P=.000). CONCLUSION. The use of conventional titanium screw is more important than the tightening techniques employed in this study to provide long-term stability to Universal Abutment screws.

EFFECT OF SURFACE DEFECTS AND CROSS-SECTIONAL CONFIGURATION ON THE FATIGUE FRACTURE OF NITI ROTARY FILES UNDER CYCLIC LOADING (전동식 니켈 티타늄 파일의 표면 결함 및 단면 형태가 반복응력 하에서 피로 파절에 미치는 영향)

  • Shin, Yu-Mi;Kim, Eui-Sung;Kim, Kwang-Man;Kum, Kee-Yeon
    • Restorative Dentistry and Endodontics
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    • v.29 no.3
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    • pp.267-272
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    • 2004
  • The purpose of this in vitro study was to evaluate the effect of surface defects and cross-sectional configuration of NiTi rotary files on the fatigue life under cyclic loading. Three NiTi rotary files ($K3^{TM},{\;}ProFile^{\circledR},{\;}and{\;}HERO{\;}642^{\circledR}$) with #30/.04 taper were evaluated. Each rotary file was divided into 2 subgroups : control (no surface defects) and experimental group (artificial surface defects), A total of six groups of each 10 were tested. The NiTi rotary files were rotated at 300rpm using the apparatus which simulated curved canal (40 degree of curvature) until they fracture. The number of cycles to fracture was calculated and the fractured surfaces were observed with a scanning electron microscope. The data were analyzed statistically. The results showed that experimental groups with surface defects had lower number of cycles to fracture than control group but there was only a statistical significance between control and experimental group in the $K3^{TM}$ (p<0.05), There was no strong correlation between the cross-sectional configuration area and fracture resistance under experimental conditions. Several of fractured files demonstrated characteristic patterns of brittle fracture consistent with the propagation of pre-existing cracks. This data indicate that surface defects of NiTi rotary files may significantly decrease fatigue life and it may be one possible factor for early fracture of NiTi rotary files in clinical practice.

CYCLIC SUBGROUP SEPARABILITY OF HNN EXTENSIONS

  • Kim, Goansu
    • Bulletin of the Korean Mathematical Society
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    • v.30 no.2
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    • pp.285-293
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    • 1993
  • In [4], Baumslag and Tretkoff proved a residual finiteness criterion for HNN extensions (Theorem 1.2, below). This result has been used extensively in the study of the residual finiteness of HNN extensions. Note that every one-relator group can be embedded in a one-relator group whose relator has zero exponent sum on a generator, and the latter group can be considered as an HNN extension. Hence the properties of an HNN extension play an important role in the study of one-relator groups [3], [2]. In this paper we prove a criterion for HNN extensions to be .pi.$_{c}$(Theorem 2.2). Moreover, we can prove that certain one-relator groups, known to be residually finite, are actually .pi.$_{c}$. It was known by Mostowski [10] that the word problem is solvable for finitely presented, residually finite groups. In the same way, the power problem is solvable for finitely presented .pi.$_{c}$ groups. Another application of subgroup separability with respect to special subgroups was mentioned by Thurston [12, Problem 15].m 15].

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STABLE SPLITTINGS OF BG FOR GROUPS WITH PERIODIC COHOMOLOGY AND UNIVERSAL STABLE ELEMENTS

  • Lim, Pyung-Ki
    • Bulletin of the Korean Mathematical Society
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    • v.26 no.2
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    • pp.109-114
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    • 1989
  • This paper deals with the classifying spaces of finite groups. To any finite group G we associate a space BG with the property that .pi.$_{1}$(BG)=G, .pi.$_{i}$ (BG)=0 for i>1. BG is called the classifying space of G. Consider the problem of finding a stable splitting BG= $X_{1}$$^{V}$ $X_{1}$$^{V}$..$^{V}$ $X_{n}$ localized at pp. Ideally the $X_{i}$ 's are indecomposable, thus displaying the homotopy type of BG in the simplest terms. Such a decomposition naturally splits $H^{*}$(BG). The main purpose of this paper is to give the classification theorem in stable homotopy theory for groups with periodic cohomology i.e. cyclic Sylow p-subgroups for p an odd prime and to calculate some universal stable element. In this paper, all cohomology groups are with Z/p-coefficients and p is an odd prime.prime.

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