نتایج جستجو برای: group extensions
تعداد نتایج: 1025152 فیلتر نتایج به سال:
chapter one is devotod to collect some notion and background informations, which are needed in the next chapters. it also contains some important statements which will be proved in a more general context later in this thesis. in chapter two, we show that if the marginal factor-group is of order np1...pk,n>1, then we obtain a bound for the order of the verbal subgroup. also a bound for the bear-...
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...
we examine the symplectic group $sp_{2m}(q)$ and its correspondingaffine subgroup. we construct the affine subgroup and show that itis a split extension. as an illustration of the above we study theaffine subgroup $2^5{:}sp_4(2)$ of the group $sp_6(2)$.
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 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...
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