SOME RESULTS ON GROUPS | ||
Journal of University of Anbar for Pure Science | ||
Article 22, Volume 4, Issue 2, August 2010, Pages 74-77 PDF (398.69 K) | ||
Document Type: Research Paper | ||
DOI: 10.37652/juaps.2010.15278 | ||
Author | ||
YASSIN. A.W.AL-HITI* | ||
Irbid National University - Faculty of Science & Information Technology | ||
Abstract | ||
In this paper , we define a certain subgroup ,denoted by ,as follows : of a finite group , and we give some properties of . Main result for is given in theorem 3.5 , which state that is an elementary abelian group if and only if | ||
Keywords | ||
Elementary abelian p; Commutator; Center of a group | ||
References | ||
[1] Boen , J.R ,(1994), On Groups of class Three Generated by Three Elements Proceeding of the American Mathematical Society , Vol.12 , No.6, : pp: 978- 981.
[2] Burton, D.M.,(1967), Introduction to Modern Abstract Algebra, Addision- Wesley, London.
[3] Dummit, D.S. and Foot, R.,(1999) , Abstract Algebra, Second Edition, john Wiley and Sons, Inc., New York.
[4] Gallian, J.A., (1995),Contemporary Abstract Algebra, Third Edition, D.C. Heath and Company .
[5] Hall , M. and Senior , J. K. , ( 1964 ), The Group of order , MacMillan and company .
[6] Herstein , I. N. (1990) , Topiocs in Abstract Algebra, Second edition , Macmillan Publishing Company.
[7] Khanna ,V.K., and Bhambri, S.K. (1996) , A Course in Abstract Algebra , Vikas Publishing House Pvt Ltd, Delhi.
[8] Leedham-Green, C.R. ,(1994), The structure of finite groups , Journal of the London Mathematical Society .(2), 50(1), pp : 49- 67.
[9] Mall , M., (1973), The Theory of Groups, Macmillan, New york.
| ||
Statistics Article View: 221 PDF Download: 220 |