نتایج جستجو برای: clifford theory fischer
تعداد نتایج: 792103 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 ...
The full automorphism group of $U_6(2)$ is a group of the form $U_6(2){:}S_3$. The group $U_6(2){:}S_3$ has a maximal subgroup $2^9{:}(L_3(4){:}S_3)$ of order 61931520. In the present paper, we determine the Fischer-Clifford matrices (which are not known yet) and hence compute the character table of the split extension $2^9{:}(L_3(4){:}S_3)$.
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 $63$.
Euclidean Clifford analysis is a higher dimensional function theory studying so–called monogenic functions, i.e. null solutions of the rotation invariant, vector valued, first order Dirac operator ∂. In the more recent branch Hermitean Clifford analysis, this rotational invariance has been broken by introducing a complex structure J on Euclidean space and a corresponding second Dirac operator ∂...
Two useful theorems in Euclidean and Hermitean Clifford analysis are discussed: the Fischer decomposition and the Cauchy-Kovalevskaya extension.
The group $2^6{{}^{cdot}} G_2(2)$ is a maximal subgroup of the Rudvalis group $Ru$ of index 188500 and has order 774144 = $2^{12}.3^3.7$. In this paper, we construct the character table of the group $2^6{{}^{cdot}} G_2(2)$ by using the technique of Fischer-Clifford matrices.
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 subgroups of symplectic groups which fix a non-zero vector of the underlying symplectic space are called emph{affine subgroups.}~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{:}o^{-}_...
the subgroups of symplectic groups which fix a non-zero vector of the underlying symplectic space are called affine subgroups., 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{:}o^{-}_{6}(2...
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