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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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