The symmetric group
CiteSeerX — Hecke algebras and Schur algebras of the symmetric group
... the symmetric groups, the elements L k were introduced independently by Jucys [ 45 ] and Murphy [ 54 ...the symmetric group, L 0 k = 1 for all ...
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Stanley's character polynomials and coloured factorisations in the symmetric group
... the symmetric group S n indexed by ω, and evaluated on the conjugacy class C λ of S n , where C λ is the class of all permutations whose disjoint cycle lengths are specified by the parts of ...
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POSSIBLE ORDERS OF TWO GENERATORS OF THE ALTERNATING AND OF THE SYMMETRIC GROUP*
... the symmetric group of degree » contains a substitution of order / but cannot be generated by two operators of orders 2 and / ...alternating group of degree » according to the general theorems noted ...
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Domino Tableaux, Schützenberger Involution, and the Symmetric Group Action
... The self-evacuating tableaux are defined as fixed points of the Sch¨ utzenberger evacuation involution S on the semi-standard tableaux (see [11], [12]). The proof of Theorem 0.1 in [12] uses properties of the canonical ...
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The symmetric group and the unitary group : an application of group subgroup transformation theory
... Various types of transformation factors, such as the coupling, subduction and induction factors and the recoupling, resubduction and reinduction factors, are found [r] ...
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Associative words in the symmetric group of degree three
... H., Words which give rise another group operation for a given group in: Proceedings of the Second International Conference on the Theory of Groups,.. (Australian Nat.[r] ...
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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 ...
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Gamma (co)homology of commutative algebras and some related representations of the symmetric group
... We note the similar decomposition of cyclic (co)homology of a commutative algebra over a ground ring containing Q, due to Natsume and Schack [ N-S I and to Loday [ L, 1,2 1. The stand[r] ...
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The Maschke property for the Sylow $p$-sub\-groups of the symmetric group $S_{p^n}$
... Abstract. In this paper we prove that the Maschke property holds for coprime actions on some im- portant classes of p-groups like: metacyclic p-groups, p-groups of p-rank two for p > 3 and some weaker property holds ...
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Some Topological Indices of Subgroup Graph of Symmetric Group
... a group is very interesting to ...a group is subgroup graph introduced by Anderson et al in 2012 and there is no research on the topology index of the subgroup graph of the symmetric group ...
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Some Topological Indices of Subgroup Graph of Symmetric Group
... a group is very interesting to ...a group is subgroup graph introduced by Anderson et al in 2012 and there is no research on the topology index of the subgroup graph of the symmetric group ...
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Symmetric subgroups in modular group algebras
... Study of units and their properties is one of the main research problems in group ring theory. Results obtained in this direction are also useful for the investigation of Lie properties of group rings, ...
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4. Symmetric group with the permutation polytopes
... permutation group, the converse from permutation polytope to permutation group is also given according to this relationship, an open conjecture is ...
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On the group velocity of symmetric and upwind numerical schemes
... Group velocity analysis, justifiable on the grounds of weak dissipation, shows that high-frequency saw-tooth waves propagate 'backward' and persist longer at smaller [r] ...
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The nonabelian tensor square of a Bieberbach group with symmetric point group of order six
... with symmetric point group of order ...a group is a well known homological functor which can reveal the properties of a ...with symmetric point group of order six is ...this ...
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CiteSeerX — DECODING OF GROUP CODES FOR BINARY SYMMETRIC CHANNELS
... It is a fundamental concept of the theory of finite groups that every group can be decomposed into disjoint complete conjugate classes; and that the charac- ters [r] ...
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On group rings and some of their applications to combinatorics and symmetric cryptography
... research, group rings also receive attention for their applica- tions to ...instance, group rings are directly used to construct key exchange protocols similar to the Diffe-Hellman protocol in ...of ...
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ON THE SYMMETRIC BLOCK DESIGN WITH PARAMETERS (231,70,21) ADMITTING A GROUP OF ORDER 23
... a symmetric design with parameters (n 2 +n + 1, n + 1, 1) and it is still unknown whether finite projective planes of non–prime–power order may exist at ...a symmetric design has often required “ad hoc” ...
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On the Symmetric Block Design with Parameters (306,61,12) Admitting a Group of Order 61
... Menderes Gashi Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Prishtina, Avenue Mother Teresa 5, 10000 Prishtina, Kosova Abstract. In this paper we have proved that up to ...
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Automorphism Group of a Possible 2-(121, 16, 2) Symmetric Design
... a symmetric 2-(121, 16, 2) design with the automorphism group of ...a symmetric design and some general results on the automorphism groups of a symmetric design are given and in Section 3, we ...
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