نتایج جستجو برای: inertia group
تعداد نتایج: 990683 فیلتر نتایج به سال:
the purpose of this paper is the determination of the inertia factors, the computations of the fischer matrices and the ordinary character table of the split extension $overline{g}= 3^{7}{:}sp(6,2)$ by means of clifford-fischer theory. we firstlydetermine the conjugacy classes of $overline{g}$ using the coset analysis method. the determination of the inertia factor groups of ...
in this paper we give some general results on the non-splitextension group $overline{g}_{n} = 2^{2n}{^{cdot}}sp(2n,2), ngeq2.$ we then focus on the group $overline{g}_{4} =2^{8}{^{cdot}}sp(8,2).$ we construct $overline{g}_{4}$ as apermutation group acting on 512 points. the conjugacy classes aredetermined using the coset analysis technique. then we determine theinertia factor groups and fischer...
in this paper we first construct the non-split extension $overline{g}= 2^{6} {^{cdot}}sp(6,2)$ as a permutation group acting on 128 points. we then determine the conjugacy classes using the coset analysis technique, inertia factor groups and fischer matrices, which are required for the computations of the character table of $overline{g}$ by means of clifford-fischer theory. there are two inerti...
in [u. dempwolff, on extensions of elementary abelian groups of order $2^{5}$ by $gl(5,2)$, textit{rend. sem. mat. univ. padova}, textbf{48} (1972), 359 - 364.] dempwolff proved the existence of a group of the form $2^{5}{^{cdot}}gl(5,2)$ (a non split extension of the elementary abelian group $2^{5}$ by the general linear group $gl(5,2)$). this group is the second l...
the split extension group $a(4)cong 2^7{:}sp_6(2)$ is the affine subgroup of the symplectic group $sp_8(2)$ of index $255$. in this paper, we use the technique of the fischer-clifford matrices to construct the character table of the inertia group $2^7{:}(2^5{:}s_{6})$ of $a(4)$ of index $63$.
in our paper [a. b. m. basheer and j. moori, on a group of the form $2^{10}{:}(u_{5}(2){:}2)$] we calculated the inertia factors, fischer matrices and the ordinary character table of the split extension $ 2^{10}{:}(u_{5}(2){:}2)$ by means of clifford-fischer theory. the second inertia factor group of $2^{10}{:}(u_{5}(2){:}2)$ is a group of the form $2_{-}^{1+6}{:}((3^{1+2}{...
the non-split extension group $overline{g} = 5^3{^.}l(3,5)$ is a subgroup of order 46500000 and of index 1113229656 in ly. the group $overline{g}$ in turn has l(3,5) and $5^2{:}2.a_5$ as inertia factors. the group $5^2{:}2.a_5$ is of order 3 000 and is of index 124 in l(3,5). the aim of this paper is to compute the fischer-clifford matrices of $overline{g}$, which together with associated parti...
In our paper [A. B. M. Basheer and J. Moori, On a group of the form $2^{10}{:}(U_{5}(2){:}2)$] we calculated the inertia factors, Fischer matrices and the ordinary character table of the split extension $ 2^{10}{:}(U_{5}(2){:}2)$ by means of Clifford-Fischer Theory. The second inertia factor group of $2^{10}{:}(U_{5}(2){:}2)$ is a group of the form $2_{-}^{1+6}{:}((3^{1+2}{...
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