Symmetric group
Some Topological Indices of Subgroup Graph of Symmetric Group
... a group will be simple and undirected if the subgroup is a normal ...For symmetric group 𝑆𝑆 𝑛𝑛 , the trivial normal subgroup is {(1)} and 𝑆𝑆 𝑛𝑛 ...
8
Stanley's character polynomials and coloured factorisations in the symmetric group
... In Stanley [8], the author introduces polynomials which help evaluate symmetric group characters and conjectures that the coefficients of the polynomials are positive. In [9], the same author gives a ...
13
The symmetric group and the unitary group : an application of group subgroup transformation theory
... in analogy to the coupling factor and recoupling coefficient of the Racah-Wigner algebra, the symmetries and a calculational method of other transformation factors including the inductio[r] ...
193
Characterization of the symmetric group by its non-commuting graph
... Let G be a group. The non-commuting graph ∇(G) of G is defined as follows: the set of vertices of ∇(G) is G − Z(G), where Z(G) is the center of G and two vertices are connected whenever they do not commute. Also ...
26
The Maschke property for the Sylow $p$-sub\-groups of the symmetric group $S_{p^n}$
... So we assume [V, N ] ̸ = 1. Let K ⊴ V be cyclic with V /K cyclic, so V ′ ≤ K and V is a regular p-group by [14, III.10.2 Satz p. 322]. Since N is normal and V ′ ≤ K we have K ∩ N ̸= 1. As K is cyclic and N ∩ L = ...
24
Gamma (co)homology of commutative algebras and some related representations of the symmetric group
... The quotient of the Hochschild complex by the decomposableelementsfor this shuffle product gives a complex, whosecohomologyis the Harrison cohomology.If one works over a ground ring cont[r] ...
85
Associative words in the symmetric group of degree three
... any group. It is known that in the absolutely free group ([6,7]) and in the class of all abelian groups ([4]) there are no other associative ...a group and the group operation x · y can be ...
13
Tout
... The goal of this paper is to give new explicit formulas for the structure coefficients of the center of the symmetric group algebra using the combinatorial method. We will be interested in computing the ...
10
On the Affine Weyl group of type A˜n−1
... We see in Bourbaki [2] that extension of S n, the symmetric group of degree n, by a group of translations and of is one of the crystallographic Coxeter groups considered a lattice of wei[r] ...
8
Multi Decryption Key Agreement in Dynamic Peer Group
... .Since group key management [3] is the cornerstone of secure group communication [4], it has naturally received a lot of ...key, group key agreement can be categorize into symmetric ...
6
Computing in permutation groups without memory
... Once recast in algebraic language, the design of instruction sets able to compute any transformation becomes a problem on generating sets, which has been extensively studied for transformation semigroups [15, 16]. It is ...
21
Computing in permutation groups without memory
... semi- group, one only needs a generating set of the symmetric group and one more transformation ...the symmetric group in this ...
22
Statistical applications for equivariant matrices
... finite group of ...a symmetric group as part of statistical analysis of rankings in an election, spectral analysis in stationary processes, prediction of stationary processes and Yule-Walker equations ...
9
String C groups as transitive subgroups of Sn
... the group induced on the set of ...the group generated by L has a primitive action on the ...simple group of order m; thus |L| ≤ 2 log 2 m and in this case, m ≥ ...the group induced on the ...
12
The partition algebra and the Kronecker product (Extended Abstract)
... A fundamental problem in the representation theory of the symmetric group is to describe the coeffi- cients in the decomposition of the tensor product of two Specht modules. These coefficients are known in ...
13
Symmetric groups, wreath products, Morita equivalences, and Broue's abelian defect group conjecture
... [4] Daniel Gorenstein. Finite groups. Harper & Row Publishers, New York, 1968. [5] M. E. Harris. Splendid derived equivalences for blocks of finite groups. preprint, 1997. [6] G. James and A. Kerber. The ...
14
On symmetric quotients of symmetric algebras
... investigate symmetric quotient algebras of symmetric algebras, with an emphasis on finite group algebras over a complete discrete valuation ring O ...finite group G gives rise to a ...
12
, the optimal approximation symmetric and antipersymmetric solution group can be obtained. Given numerical examples show that the iterative method is efficient. Index Terms —Iterative method, Matrix equation, Symmetric and antipersymmetric, Least-norm solution group, Optimal approximation solution
... initial symmetric and an antipersymmetric matrix group [X 1 (0) , X 2 (0) , · · · , X l (0) ], a symmetric and an antiper- symmetric solution group can be obtained within at most pq ...
6
Privacy Preservation Scheme for Multicast Communications in Smart Buildings of the Smart Grid
... then group key management will utilize a contributory ...the group members are able to access the key server (no partitioning of the group), a centralized scheme ...the group is parti- tioned ...
12
On symmetric quotients of symmetric algebras
... Permanent repository link: http://openaccess.city.ac.uk/6903/ Link to published version: http://dx.doi.org/10.1016/j.jalgebra.2014.05.035 Copyright and reuse: City Research Online aims t[r] ...
6