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Volume : III, Issue : IV, May - 2013 APPLICATION OF LAGRANGE THEOREM ON CERTAIN GROUPS J.VENKATESWARA RAO, M.V.RAMANJANEYULU, M.SANDHYA DOI : 10.9780/22307850, 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, DOI : 10.9780/22307850, http://oldisrj.lbp.world/UploadedData/2350.pdf References : - Berkovich Y, “Groups of prime power order”, Vol.1 and 2, W.de Gruyter, Berlin, 2008.
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