共查询到20条相似文献,搜索用时 24 毫秒
1.
模糊子群直积的若干性质 总被引:1,自引:1,他引:0
在Ray的论文[Onproduct of fuzzy subgroups105(1999)181—183]中,作者给出了模糊子群直积在min下的一些性质。在本文中我们将给出更多关于模糊子群直积的性质,并推广到模糊子环上;最后讨论了模糊子群的直积在t-模下的一些性质。 相似文献
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通过研究特征单群的合成群列和子群链的构造特点,得出了能够反映特征单群的模糊子群构造特征的极大Fuzzy子群的阶和等价类数以及Fuzzy子群的等价类数的公式. 相似文献
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Kathleen L. Petersen 《Mathematische Annalen》2007,338(2):249-282
We show that there are only finitely many maximal congruence subgroups of the Bianchi groups such that the quotient by has only one cusp. 相似文献
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A collection of subgroups of a finite group G can give rise to three different standard formulas for the cohomology of G in terms of either the subgroups in or their centralizers or their normalizers. We give a short but systematic study of the relationship among such formulas for nine standard collections of p-subgroups, obtaining some new formulas in the process. To do this, we exhibit some sufficient conditions on the poset which imply comparison results. 相似文献
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Let H and T be subgroups of a finite group G. H is said to be permutable with T in G if HT = TH. In this paper, we use the concept of permutable subgroups to give two new criterions of supersolubility of the product G = AB of finite supersoluble groups A and B.
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Li Xianhua 《东北数学》1994,(1)
On[m,P_1~(a_1),P_2~(a_2),…,P_s~(a_s)]IndexTypeGroupsLiXianhua(黎先华)(DepartmentofMathematics,GuizhouNormalUniversity,Guiyang,550001)A... 相似文献
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在其Sylow子群上作用双传递的有限群 总被引:2,自引:0,他引:2
本文完全确定了下述类型的有限群:(1)对于某个素数p,在其Sylowp-子群的集合上作用双传递的所有几乎单群;(2)所有的非交换单群T,其自同构群在T的某个Sylowp-子群的集合上作用双传递;(3)在其所有的Sylow子群上双传递的全部有限群. 相似文献
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We show that a group with all Sylow subgroups cyclic (other than
) cannot contain a normal semiregular relative difference set (RDSs). We also give a new proof that dihedral groups cannot contain (normal) semiregular RDSs either. 相似文献
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Y. Li 《Siberian Mathematical Journal》2006,47(3):474-480
Let ? be a class of groups. Given a group G, assign to G some set of its subgroups Σ = Σ(G). We say that Σ is a G-covering system of subgroups for ? (or, in other words, an ?-covering system of subgroups in G) if G ∈ ? wherever either Σ = ? or Σ ≠ ? and every subgroup in Σ belongs to ?. In this paper, we provide some nontrivial sets of subgroups of a finite group G which are G-covering subgroup systems for the class of supersoluble groups. These are the generalizations of some recent results, such as in [1–3]. 相似文献
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We determine the combinatorial depth of certain subgroups of simple Suzuki groups Sz(q), among others, the depth of their maximal subgroups. We apply these results to determine the ordinary depth of these subgroups. 相似文献
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We call a subgroup A of a finite group G a solitary subgroup of G if G does not contain another isomorphic copy of A. We call a normal subgroup A of a finite group G a normal solitary subgroup of G if G does not contain another normal isomorphic copy of A. The property of being (normal) solitary can be viewed as a strengthening of the requirement that A is normal in G. We derive various results on the existence of (normal) solitary subgroups. 相似文献
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We study the connection between products of Sylow subgroups of a finite group G and the solvable residual of G. Let Π(𝒫) be a product of Sylow subgroups of G such that each prime divisor of |G| is represented exactly once in Π(𝒫). We prove that there exists a unique normal subgroup N of G which is minimal subject to the requirement Π(𝒫) N = G. Furthermore, N is perfect, and the product of all of these subgroups is the solvable residual of G. We also prove that the solvable residual of G is generated by all elements which arise from non-trivial factorizations of 1 G in such products of Sylow subgroups. 相似文献
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We investigate tile poset Sπ(G)/G of conjugacy clases of subgroups of π-power index in a finite group G. In particular, we are concerned with combinatorial and topological properties of the order complex of Sπ(G)/G. We show that the order complex of Sπ(G)/G iS homotopic to a join of orbit spaces of order complexes of posets, which bear structural information on the cheif factors of the group. Moreover, for π-solvable groups and in case π = {p} we reveal a shellable subposer of Sπ(G)/G of the same homotopy type. This complements the study of the poset Sπ(G) of subgroups of π-power index performed in [20]. For the analysis of the order complexes we develop some new lemmata on the topology of order complexes of posets and in the theory of shellability. 相似文献
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Boping Jin 《Journal of Number Theory》2005,110(1):120-135
A subgroup cover of the integer lattice in two or more dimensions is a presentation of that lattice as a finite union of proper subgroups, no two of the same index. In an earlier paper, Cochrane and Myerson constructed subgroup covers in two dimensions and asked several questions about other methods of construction and about higher dimensions. We answer those questions. 相似文献
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We give criteria to characterize subgroups of a direct product of finite solvable groups that satisfy the strong Frattini argument. 相似文献
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计算对称群S6的所有子群 总被引:11,自引:0,他引:11
黄本文 《高校应用数学学报(A辑)》2001,16(1):31-35
利用电子计算机,通过计算的方法,获得了对称群S6共有1455个子群,且每个子群给出了一组生成元素,同时给出了计算的流程图及方法步骤。 相似文献
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设G为有限群,G的一个子群H称为半置换的,若对任意的K≤G,只要(|K|,|H|)=1,就有KH=HK;H称为s-半置换的,若对任意的p||C|,只要(p,|H|)=1,就有PH=HP,其中P∈Sylp(G).本文考察了素数幂阶子群的s-半置换性对有限群的超可解性的影响. 相似文献