symmetric group \(S_3\)
Some Topological Indices of Subgroup Graph of Symmetric Group
... studies related to graphs from a group have been widely reported, mostly of dihedral group [73,76–82] and are still rare from symmetric groups [82–84]. Therefore, this article will examine the ...
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
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 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
The Maschke property for the Sylow $p$-sub\-groups of the symmetric group $S_{p^n}$
... group of the complete p-ary rooted tree of height n. In the literature these are extensively studied, see e.g. [24], [27], [28], [31], [26]. These results have significant role in the representation theory of ...
24
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
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
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
Tout
... the symmetric group algebra are the combinatorial way and the character ...the symmetric group, the structure coefficients can be expressed in terms of irreducible characters of the ...
10
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
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
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
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
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
On graded centres and block cohomology
... is functorial in U and an isomorphism for U = A; as both sides are exact in U it follows that this is an isomorphism for all U . Given two symmetric k-algebras A, B and a B-A-bimodule M which is finitely generated ...
22
Violation of Object Functional Unimodality and Evolutionary Algorithms for Optimal Control Problem Solution
... The study considers conditions under which functionals in optimal control problems with phase constraints and control of a group of objects are not unimodal. As an example, an optimal control problem with phase ...
13
On local CR transformation of Levi degenerate group orbits in compact Hermitian symmetric spaces
... Lie group SL(p, C) acts transitively as holomorphic transformation group and has its center as kernel of ...Hermitian symmetric space of rank n with L = Aut(Z) 0 = PSL(p, ...
23
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