Central European Journal of MathematicsFedor Bogomolov and Marat Rovinsky. Collineation group as a subgroup of the symmetric group. Cent. Eur. J. Math., 11(1):17-26, 2013.F. Bogomolov, M. Rovinsky, `Collineation group as a subgroup of the symmetric group', Euro. J. Math. 11 (2013...
1.By designing effective algorithm,all of the Sylow-p subgroups of symmetric group S_9 are found.利用Sylow-p子群的特性,通过设计有效的算法,给出了计算对称群S9的全部Sylow-p子群及其生成元的随机性算法,同时给出了计算的流程图及计算结果。 4)TL-p subgroupsTL-p子群 5)P-supplemented subgroupp-补子群...
Let Γ = GSp (2l, R) be the general symplectic group of rank l over a commutative ring R such that 2 ∈ R*; and let ν be a symmetric equivalence relation on the index set {1,…, l, l,…, 1} all of whose classes contain at least 3 elements. In the present paper, we ...
Let $\Psi$ be the projectivization (i.e., the set of one-dimensional vector subspaces) of a vector space of dimension $\ge 3$ over a field. Let $H$ be a closed (in the pointwise convergence topology) subgroup of the permutation group $\mathfrak{S}_{\Psi}$ of the set $\Psi$...
1. By designing effective algorithm,all of the Sylow-p subgroups of symmetric group S_9 are found. 利用Sylow-p子群的特性,通过设计有效的算法,给出了计算对称群S9的全部Sylow-p子群及其生成元的随机性算法,同时给出了计算的流程图及计算结果。2) p Sylow subgroup p-Sylow子群...
By designing effective algorithm,all of the Sylow-p subgroups of symmetric group S_9 are found. 利用Sylow-p子群的特性,通过设计有效的算法,给出了计算对称群S9的全部Sylow-p子群及其生成元的随机性算法,同时给出了计算的流程图及计算结果。4) TL-p subgroups TL-p子群5) P-supplemented subgroup p...
In this paper, a formula is given for the Möbius numberμ(1, Sn) of the subgroup lattice of the symmetric groupSn. This formula involves the Möbius numbers of certain transitive subgroups ofSn. Whennhas at most two (not necessarily distinct) prime factors ornis a power of two, this...
This paper gives all the nilpotent subgroups and solvable subgroups of symmetric group S5. 给出了S5的全部102个幂零子群和154个可解子群,其中幂零子群分为10个共轭类,可解子群分为17个共轭类,而且给出了每个子群的阶和一个最小生成元组。 2. In this paper, we investigate the solvability of finite...
ofthe characteristic of $k$ (provided not $2$). We first construct a closed subgroup scheme $\mathbf{G}^\imath$ of theChevalley group scheme $\mathbf{G}$ over $\mathbb{Z}$. The pair $(\mathbf{G},\mathbf{G}^\imath)$ parameterizes symmetric pairs of the given type over any...
4) solvable subgroup 可解子群 1. This paper gives all the nilpotent subgroups and solvable subgroups of symmetric group S5. 给出了S5的全部102个幂零子群和154个可解子群,其中幂零子群分为10个共轭类,可解子群分为17个共轭类,而且给出了每个子群的阶和一个最小生成元组。