• Title, Summary, Keyword: finite group

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A local conjugacy in locally finite CC-groups

  • Shin, Hyunyong
    • Bulletin of the Korean Mathematical Society
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    • v.34 no.3
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    • pp.351-358
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    • 1997
  • A conjugacy theorem which holds for finite groups is proven to hold for Cernikov groups and locally finite CC-groups.

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A CHARACTERIZATION OF THE GROUP A22 BY NON-COMMUTING GRAPH

  • Darafsheh, Mohammad Reza;Yosefzadeh, Pedram
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.1
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    • pp.117-123
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    • 2013
  • Let G be a finite non-abelian group. We define the non-commuting graph ${\nabla}(G)$ of G as follows: the vertex set of ${\nabla}(G)$ is G-Z(G) and two vertices x and y are adjacent if and only if $xy{\neq}yx$. In this paper we prove that if G is a finite group with $${\nabla}(G){\simeq_-}{\nabla}(\mathbb{A}_{22})$$, then $$G{\simeq_-}\mathbb{A}_{22}$$where $\mathbb{A}_{22}$ is the alternating group of degree 22.

FINITE GROUPS WHICH ARE MINIMAL WITH RESPECT TO S-QUASINORMALITY AND SELF-NORMALITY

  • Han, Zhangjia;Shi, Huaguo;Zhou, Wei
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.6
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    • pp.2079-2087
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    • 2013
  • An $\mathcal{SQNS}$-group G is a group in which every proper subgroup of G is either s-quasinormal or self-normalizing and a minimal non-$\mathcal{SQNS}$-group is a group which is not an $\mathcal{SQNS}$-group but all of whose proper subgroups are $\mathcal{SQNS}$-groups. In this note all the finite minimal non-$\mathcal{SQNS}$-groups are determined.

Finite Element Analysis of BLDC Motor Characteristic according to Magnetic Property Measurement Methods (자성 측정 방법에 따른 BLDC 전동기의 전자계 특성해석)

  • Kim, Ji-Hyun;Ha, Kyung-Ho;Kwon, Oh-Yeoul;Cha, Sang-Yoon;Kim, Jae-Kwan
    • Proceedings of the KIEE Conference
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    • pp.697-698
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    • 2008
  • This paper deals with finite element characteristic analysis of brushless DC motor according to magnetic property measurement methods. Magnetic property data for non-oriented (NO) electrical steel for electric motors are measured by the Epstein test which is considered as the international standards. Data from Epstein test may result in discrepancy from motor characteristic tests due to innate anisotropic property of NO electrical steel. Finite element analysis were performed for a BLDC motor by various measurement methods such as Epstein test, Ring test and single sheet test (SST), and calculated results were compared with considering anisotropic property conditions.

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Notes on groups with finite base

  • Pan Soo Kim;Yang Kok Kim
    • Communications of the Korean Mathematical Society
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    • v.11 no.2
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    • pp.303-310
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    • 1996
  • We define a group property of finite base which is closely related to finite Pr$\ddot{u}$fer rank, and then study the class of groups having such a property.

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THE LOWER AUTOCENTRAL SERIES OF ABELIAN GROUPS

  • Moghaddam, Mohammad Reza R.;Parvaneh, Foroud;Naghshineh, Mohammad
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.1
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    • pp.79-83
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    • 2011
  • In the present paper we introduce the lower autocentral series of autocommutator subgroups of a given group. Following our previous work on the subject in 2009, it is shown that every finite abelian group is isomorphic with $n^{th}$-term of the lower autocentral series of some finite abelian group.

THE DETERMINANT MAP FROM THE AUTOMORPHISM GROUP OF A PROJECTIVE R-MODULE TO THE UNIT GROUP OF R

  • Lee, Sang Cheol;Kim, Sang-hee
    • Honam Mathematical Journal
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    • v.39 no.4
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    • pp.677-688
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    • 2017
  • Let P be a finitely generated projective module over a commutative ring R with identity. If P has finite rank, then it will be shown that the map ${\varphi}:Aut_R(P){\rightarrow}U(R)$ defined by ${\varphi}({\alpha})={\det}({\alpha})$ is locally surjective and $Ker({\varphi})=SL_R(P)$.

Holographic Trace Anomaly at Finite Temperature

  • Lee, Bum-Hoon;Nam, Siyoung;Park, Chanyong
    • Journal of the Korean Physical Society
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    • v.70 no.1
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    • pp.34-41
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    • 2017
  • Using the holographic renormalization, we investigate the finite temperature and size effect to the energy-momentum tensor of the dual field theory and its renormalization group (RG) flow. Following the anti-de Sitter/conformal field theory correspondence, the dual field theory of the AdS space is well known to be a conformal field theory that has no nontrivial RG flow. Holographically, that theory can be lifted to a finite temperature version by considering a AdS black hole solution. Because the black hole horizon associated with temperature is dimensionful, it breaks the boundary conformal symmetry and leads to a nontrivial RG flow. In this work, we investigate the finite temperature and size correction to a strongly interacting conformal field theory along the Wisonian renormalization group flow.