System No. | U0002-1706201214072200 |
---|---|
Title (in Chinese) | 對個數為三個相異質數的積之群的研究 |
Title (in English) | A study of groups of order pqr , p,q,r are primes |
Other Title | |
Institution | 淡江大學 |
Department (in Chinese) | 中等學校教師在職進修數學教學碩士學位班 |
Department (in English) | Executive Master's Program In Mathematics for Teachers |
Other Division | |
Other Division Name | |
Other Department/Institution | |
Academic Year | 100 |
Semester | 2 |
PublicationYear | 101 |
Author's name (in Chinese) | 丁文彥 |
Author's name(in English) | Wen-Yen Ding |
Student ID | 799190029 |
Degree | 碩士 |
Language | English |
Other Language | |
Date of Oral Defense | 2012-06-15 |
Pagination | 33page |
Committee Member |
advisor
-
李武炎
co-chair - 張員榮 co-chair - 周兆智 |
Keyword (inChinese) |
西羅定理 半直積 |
Keyword (in English) |
SylowTheorem SemidirectProducts |
Other Keywords | |
Subject | |
Abstract (in Chinese) |
對於個數為 2qr 的群 ,q,r 為質數 ,且q<r , 這些群結構的數量 ,可以歸納成兩類 :一類是當 q∤r−1 , 另一類是當 q | r−1 . 所以我將對於這兩類 不同形式的群最分. |
Abstract (in English) |
The number of groups with order 2qr,where q < r are primes,depends on whether q divides r-1.In this paper,we explore the possible structures of these groups. |
Other Abstract | |
Table of Content (with Page Number) |
1.Introduction....................................1 2.Main Results...................................13 References.......................................33 |
References |
[1] Dummit,David S.,and Richard M.Foote.Abstract Algebra.3rd ed.Hoboken,NJ: Wiley,2004. [2] Fraleigh,John B.A First Course in Abstract Algebra.7thed.Reading,MA:Addison-Wesley,2003. [3] Gallian,Joseph A.Contemporary Abstract Algebra.5th ed.Houghton Mifflin,2002. [4] Hall,Marshall,Jr.The Theory of Groups.2nd ed.New York:Chelsea,1976. [5]Herstein,I.N.Abstract Algebra.3rd ed.New York:Wiley,1999. [6]Hungerford,T. W.Abstract Algebra-An Introduction.2nd ed. Pacific Grove,CA: Brooks/Cole,1997. [7]Jacobson,N. Basic Algebra 1.2nd ed.San Francisco:Freeman,1985. [8]Kurosh,A. Theory of Groups.2 vols.Translated by K.A.Hirsch.New York:Chelsea,1979. [9]Lang,S.Algebra.3rd ed.New York:Springer-Verlag,2005. [10]Nicholson,W. Keith.Introduction to Abstract Algebra.3rd ed.Hoboken,NJ:Wiley-Interscience,2007. [11]Rotman,Joseph J.A First Course in Abstract Algebra.3rd ed.Upper Saddle River,NJ:Pearson Prentice Hall,2006. |
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