搜索结果: 46-60 共查到“知识库 群论”相关记录486条 . 查询时间(6.185 秒)
矩阵的三角分解与应用
初等矩阵 初等变换 三角分解 同构
2012/11/26
对矩阵的三角分解理论作了比较全面的论述,重点解析了矩阵三角分解的确定和推广，并介绍了在解线性方程组和群论中的应用.
具有给定共轭类长的有限群
有限群 共轭类 单K3-群 素图
2013/12/5
通过有限群G的共轭类长集合cs(G)来刻画有限群A6和S6,得到如下结论：如果cs（G）=cs（G）={1, p3·r,p·q2·r,p3·q2,q2·r}，则G=A6；如果cs（G）={1,q·r,p3·r,q2·r,p·q2·r,p3·q·r,p4·q2},则G=S6.
边冠图 Tm◇Sn的临界群
Laplacian 矩阵 临界群 群的Smith 标准型 边冠图
2012/11/23
确定了任意树与星的边冠图 Tm◇Sn 的临界群的代数结构，证明了边冠图 Tm◇Sn 的临界群的Smith标准型为 (n－2)m 个循环群的直和，同时给出了图 Tm◇Sn的生成树数目.
Square complexes and simplicial nonpositive curvature
Square complexes simplicial nonpositive curvature Group Theory
2011/9/16
Abstract: We prove that each nonpositively curved square VH-complex can be turned functorially into a locally 6-large simplicial complex of the same homotopy type. It follows that any group acting geo...
Upgrading Subgroup Triple Product Property Triples
Subgroup Triple Product Property Triples Group Theory
2011/9/23
Abstract: In 2003 COHN and UMANS introduced a group-theoretic approach to fast matrix multiplication. This involves finding large subsets of a group $G$ satisfying the Triple Product Property (TPP) as...
Injective hulls of certain discrete metric spaces and groups
Injective hulls certain discrete metric spaces and groups Group Theory
2011/9/23
Abstract: Injective metric spaces, or absolute 1-Lipschitz retracts, share a number of properties with CAT(0) spaces. Isbell showed that every metric space X has an injective hull E(X). We prove that ...
A note on the Triple Product Property subgroup capacity of finite groups
Triple Product Property finite groups Group Theory
2011/9/23
Abstract: In the context of group-theoretic fast matrix multiplication the TPP capacity is used to bound the exponent $\omega$ of matrix multiplication. We prove a new and sharper upper bound for the ...
Unitriangular factorisations of Chevalley groups
Chevalley groups unitriangular factorisations unipotent factorisations rings of stable rank 1
2011/9/21
Abstract: Lately, the following problem has attracted a lot of attention in various contexts: find the shortest factorisation $G=UU^-UU^-...U^{\pm}$ of a Chevalley group $G=G(\Phi,R)$ in terms of the ...
Poisson-Furstenberg boundary and growth of groups
Poisson-Furstenberg boundary Group Theory
2011/9/22
Abstract: We study the Poisson-Furstenberg boundary of random walks on permutational wreath products. We give a sufficient condition for a group to admit a symmetric measure of finite first moment wit...
The normalizers of solvable spherical subgroups
Algebraic group spherical subgroup solvable subgroup normalizer
2011/9/21
Abstract: For an arbitrary connected solvable spherical subgroup H of a connected semisimple algebraic group G we compute the group N_G(H), the normalizer of H in G. Thereby we complete a classificati...
Abstract: Suppose $G$ is a simple group. For any nontrivial elements $g$ and $h$, $g$ can be written as a finite product of conjugates of $h$ or the inverse of $h$. G is called uniformly simple if the...
A characterization of normal subgroups via n-closed sets
subgroup normal subgroup left coset n-closed set
2011/9/20
Abstract: Let (G, *) be a semigroup, D subset of G, and n >= 2 be an integer. We say that (D, *) is an n-closed subset of G if a_1* ... *a_n in D for every a_1, ..., a_n in D. Hence every closed set i...
Bipolar-Valued Fuzzy Ideals in LA-semigroups
LA-semigroups Bipolar-valued fuzzy LA-subsemigroups Bipolar-valued fuzzy left (right) ideals
2011/9/19
Abstract: In this paper, the notion of bipolar-valued fuzzy LA-subsemigroups is introduced and also some properties of bipolar-valued fuzzy left (right, bi-, interior) ideals of LA-semigroups has been...
The automorphism group of Thompson's group F: subgroups and metric properties
automorphism group Thompson's group F subgroups and metric properties
2011/9/16
Abstract: We describe some of the geometric properties of the automorphism group Aut(F) of Thompson's group F. We give realizations of Aut(F) geometrically via periodic tree pair diagrams, which lead ...
Arithmetic groups with isomorphic finite quotients
Arithmetic groups isomorphic finite quotients Group Theory
2011/9/16
Abstract: Two finitely generated groups have the same set of finite quotients if and only if their profinite completions are isomorphic. Consider the map which sends (the isomorphism class of) an S-ar...