透過您的圖書館登入
IP:3.142.133.182
  • 學位論文

對個數為三個相異質數的積之群的研究

A study of groups of order pqr , p,q,r are primes

指導教授 : 李武炎

摘要


對於個數為 2qr 的群 ,q,r 為質數 ,且q

關鍵字

西羅定理 半直積

並列摘要


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.

並列關鍵字

SylowTheorem SemidirectProducts

參考文獻


[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.

延伸閱讀