%0 Journal Article
%T The Maximal Subgroups of The Symplectic Group Psp(8, 2)
%A Rauhi I. Elkhatib
%J ARPN Journal of Systems and Software
%D 2012
%I ARPN Publishers
%X The purpose of this paper is to study maximal subgroups of the symplectic group PSp(8, 2). The main result is a list of maximal subgroups called "the main theorem" which has been proved by using Aschbacher¡¯s Theorem ([1]). Thus, 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 ([8])
%K Finite groups
%K linear groups
%K matrix groups
%K maximal subgroups
%U http://scientific-journals.org/journalofsystemsandsoftware/archive/vol2no3/vol2no3_7.pdf