Volume : III, Issue : IV, May - 2013 APPLICATION OF LAGRANGE THEOREM ON CERTAIN GROUPS![](ArticleImage/No_Image.jpg) J.VENKATESWARA RAO, M.V.RAMANJANEYULU, M.SANDHYA Published By : Laxmi Book Publication Abstract : This paper studies about the notion of indecomposable groups. It is proved that if
a group is a simple then it is an indecomposable group. If G is a p-group of class two,
then obtained a necessary and sufficient condition for a group to be indecomposable and
also centre of a group is cyclic. If group is non abelian group and the centre of group is
not contained in the intersection of maximal sub groups of group then it is a factor direct
product group. Keywords : Article : Cite This Article : J.VENKATESWARA RAO, M.V.RAMANJANEYULU, M.SANDHYA, (2013). APPLICATION OF LAGRANGE THEOREM ON CERTAIN GROUPS. Indian Streams Research Journal, Vol. III, Issue. IV, http://oldisrj.lbp.world/UploadedData/2350.pdf References : - Berkovich Y, “Groups of prime power order”, Vol.1 and 2, W.de Gruyter, Berlin, 2008.
- Burnside .W, “Theory of Groups of Finite Order”, 2nd Edition, Cambridge, 1911.
- Hall .P, “A contribution to the Theory of Groups of Prime Power Order”, Proc. London Math. Soc. Vol. 36 (1933) pp.29-95.
- Hall .P, “The Classification of Prime Power Groups”, J.ReineAngew. Math. Vol. 182 (1940) pp.130-141.
- Herstein .I.N. “Topics in Algebra” 2nd Edition. (1975).
- Ore.O, “Structures and Group Theory – I”, Duke Math. J. Vol.3 (1937) pp.149-174.
- Zassenhaus .H, “The Theory of Groups”, Chelsea Publishing Company, New York, 1949.
|
Article Post Production
Article Indexed In
|