• 제목/요약/키워드: finite group

검색결과 825건 처리시간 0.025초

FINITE GROUPS WITH A CYCLIC NORM QUOTIENT

  • Wang, Junxin
    • 대한수학회보
    • /
    • 제53권2호
    • /
    • pp.479-486
    • /
    • 2016
  • The norm N(G) of a group G is the intersection of the normalizers of all the subgroups of G. In this paper, the structure of finite groups with a cyclic norm quotient is determined. As an application of the result, an interesting characteristic of cyclic groups is given, which asserts that a finite group G is cyclic if and only if Aut(G)/P(G) is cyclic, where P(G) is the power automorphism group of G.

ERGODICITY AND RANDOM WALKS ON A COMPACT GROUP

  • CHOE, GEON HO
    • Journal of the Korean Society for Industrial and Applied Mathematics
    • /
    • 제5권1호
    • /
    • pp.25-33
    • /
    • 2001
  • Let G be a finite group with a probability measure. We investigate the random walks on G in terms of ergodicity of the associated skew product transformation.

  • PDF

THE INVERSE GALOIS PROBLEM

  • MATYSIAK, LUKASZ
    • Journal of applied mathematics & informatics
    • /
    • 제40권3_4호
    • /
    • pp.765-767
    • /
    • 2022
  • The inverse Galois problem concerns whether or not every finite group appears as the Galois group of some Galois extension of the rational numbers. This problem, first posed in the early 19th century, is unsolved. In other words, we consider a pair - the group G and the field K. The question is whether there is an extension field L of K such that G is the Galois group of L. In this paper we present the proof that any group G is a Galois group of any field extension. In other words, we only consider the group G. And we present the solution to the inverse Galois problem.

생체 역학적 분석에 의한 Compression Hip Screw의 디자인 요소에 대한 평가 (Mechanical Response of Changes in Design of Compression Hip Screws with Biomechanical Analysis)

  • 문수정;이희성;권순영;이성재;안세영;이훈
    • 한국정밀공학회:학술대회논문집
    • /
    • 한국정밀공학회 2004년도 추계학술대회 논문집
    • /
    • pp.1172-1175
    • /
    • 2004
  • At present, CHS(Compression Hip Screw) is one of the best prosthesis for the intertrochanteric fracture. There is nothing to evaluate the CHS itself with the finite element analysis and mechanical tests. They have same ways of the experimental test of the ASTM standards. The purpose of this study is to evaluate the existing CHS and the new CHS which have transformational design factors with finite element analysis and mechanical tests. The mechanical tests are divided into compression tests and fatigue test for evaluating the failure load, strength and fatigue life. This finite element method is same as the experimental test of the ASTM standards. Under 300N of compression load at the lag screw head. There are less differences between Group (5H, basic type) and Group which has 8 screw holes. However, there are lots of big differences between Group and Group which is reinforced about thickness of the neck range. Moreover, the comparison of Group and Group shows similar tendency of the comparison of Group and Group . The Group is reinforced the neck range from Group. After the experimental tests and the finite element analysis, the most effective design factor of the compression hip screws is the reinforcement of the thickness, even though, there are lots of design factors. Moreover, to unite the lag screw with the plate and to analyze by static analysis, the result of this method can be used with experimental test or instead of it.

  • PDF

STRUCTURE OF SOME CLASSES OF SEMISIMPLE GROUP ALGEBRAS OVER FINITE FIELDS

  • Makhijani, Neha;Sharma, Rajendra Kumar;Srivastava, J.B.
    • 대한수학회보
    • /
    • 제51권6호
    • /
    • pp.1605-1614
    • /
    • 2014
  • In continuation to the investigation initiated by Ferraz, Goodaire and Milies in [4], we provide an explicit description for the Wedderburn decomposition of finite semisimple group algebras of the class of finite groups G, such that $$G/Z(G){\simeq_-}C_2{\times}C_2$$, where Z(G) denotes the center of G.

A NEW CHARACTERIZATION OF $A_p$ WHERE p AND p-2 ARE PRIMES

  • Iranmanesh, A.;Alavi, S.H.
    • Journal of applied mathematics & informatics
    • /
    • 제8권3호
    • /
    • pp.889-897
    • /
    • 2001
  • Based on the prime graph of a finite simple group, its order is the product of its order components (see[4]). It is known that Suzuki-Ree groups [6], $PSL_2(q)$ [8] and $E_8(q)$ [7] are uniquely deternubed by their order components. In this paper we prove that the simple groups $A_p$ are also unipuely determined by their order components, where p and p-2 are primes.

CLASSIFICATION OF FREE ACTIONS OF FINITE GROUPS ON 3-DIMENSIONAL NILMANIFOLDS

  • Koo, Daehwan;Oh, Myungsung;Shin, Joonkook
    • 대한수학회지
    • /
    • 제54권5호
    • /
    • pp.1411-1440
    • /
    • 2017
  • We study free actions of finite groups on 3-dimensional nil-manifolds with the first homology ${\mathbb{Z}}^2{\oplus}{\mathbb{Z}}_p$. By the works of Bieberbach and Waldhausen, this classification problem is reduced to classifying all normal nilpotent subgroups of almost Bieberbach groups of finite index, up to affine conjugacy.

A FINITE PRESENTATION FOR THE TWIST SUBGROUP OF THE MAPPING CLASS GROUP OF A NONORIENTABLE SURFACE

  • Stukow, Michal
    • 대한수학회보
    • /
    • 제53권2호
    • /
    • pp.601-614
    • /
    • 2016
  • Let $N_{g,s}$ denote the nonorientable surface of genus g with s boundary components. Recently Paris and Szepietowski [12] obtained an explicit finite presentation for the mapping class group $\mathcal{M}(N_{g,s})$ of the surface $N_{g,s}$, where $s{\in}\{0,1\}$ and g + s > 3. Following this work, we obtain a finite presentation for the subgroup $\mathcal{T}(N_{g,s})$ of $\mathcal{M}(N_{g,s})$ generated by Dehn twists.