%0 Journal Article
%T The Maximal Subgroups Of The Orthogonal Group P  + (10, 2)
%A Rauhi I. Elkhatib
%J ARPN Journal of Systems and Software
%D 2012
%I ARPN Publishers
%X The main result of this work is called "the main theorem¡± which is a list of maximal subgroups of the orthogonal groupP +(10, 2) which has been proved by using Aschbacher¡¯s Theorem ([1]). So, this work is divided into two main parts: Part (1): In this part, we will find the maximal subgroups in the classes C1 ¨C C8 of Aschbacher¡¯s Theorem ([1]). Part (2): In this part, we will find the maximal subgroups in the class C9 of Aschbacher¡¯s Theorem ([1]), which are the maximal primitive subgroups H of G that have the property that the minimal normal subgroup M of H is not abelian group and simple, thus, we divided this part into two cases: Case (1): M is generated by transvections: In this case, we will use result of Kantor ([2]). Case (2): M is a finite primitive subgroup of rank three: In this case, we will use the classification of Kantor and Liebler ([3]). Mathematics Subject Classification: 20B05; 20G40, 20H30, 20E28
%K Finite groups
%K linear groups
%K matrix groups
%K maximal subgroups
%U http://scientific-journals.org/journalofsystemsandsoftware/archive/vol2no10/vol2no10_2.pdf