Results 1 to 10 of about 1,043,031 (184)

Centralizers of the infinite symmetric group [PDF]

Discrete Mathematics & Theoretical Computer Science, 2014
We review and introduce several approaches to the study of centralizer algebras of the infinite symmetric group $S_{\infty}$. Our work is led by the double commutant relationship between finite symmetric groups and partition algebras; in the case of $S_{\
Zajj Daugherty, Peter Herbrich
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Collineation group as a subgroup of the symmetric group

Open Mathematics, 2013
Let $\Psi$ be the projectivization (i.e., the set of one-dimensional vector subspaces) of a vector space of dimension $\ge 3$ over a field. Let $H$ be a closed (in the pointwise convergence topology) subgroup of the permutation group $\mathfrak{S}_{\Psi}$
Bogomolov Fedor, Rovinsky Marat
doaj   +2 more sources

The Valence-Bond (VB) Model and Its Intimate Relationship to the Symmetric or Permutation Group

Molecules, 2021
VB and molecular orbital (MO) models are normally distinguished by the fact the first looks at molecules as a collection of atoms held together by chemical bonds while the latter adopts the view that each molecule should be regarded as an independent ...
Marco Antonio Chaer Nascimento
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NeutroAlgebra of Idempotents in Group Rings [PDF]

Neutrosophic Sets and Systems, 2022
In this paper, the authors study the new concept of NeutroAlgebra of idempotents in group rings. It is assumed that RG is the group ring of a group G over the ring R. R should be a commutative ring with unit 1.
Vasantha Kandasamy, Ilanthenral Kandasamy   +1 more
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The quasiinvariants of the symmetric group [PDF]

Discrete Mathematics & Theoretical Computer Science, 2008
For $m$ a non-negative integer and $G$ a Coxeter group, we denote by $\mathbf{QI_m}(G)$ the ring of $m$-quasiinvariants of $G$, as defined by Chalykh, Feigin, and Veselov.
Jason Bandlow, Gregg Musiker
doaj   +1 more source

Harmonic Bernoulli strings and random permutations

Lietuvos Matematikos Rinkinys, 2004
We examine fairly special b-harmonic Bernoulli strings appearing in n observations. It is shown that their count number can be used to define a random process converging to the Brownian motion as n tends to infinity.
Eugenius Manstavičius
doaj   +3 more sources

Combinatorial Gelfand Models [PDF]

Discrete Mathematics & Theoretical Computer Science, 2008
A combinatorial construction of Gelfand models for the symmetric group, for its Iwahori-Hecke algebra and for the hyperoctahedral group is presented.
Ron M. Adin, Alex Postnikov, Yuval Roichman   +2 more
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Minimal Factorizations of Permutations into Star Transpositions [PDF]

Discrete Mathematics & Theoretical Computer Science, 2008
We give a compact expression for the number of factorizations of any permutation into a minimal number of transpositions of the form $(1 i)$. Our result generalizes earlier work of Pak ($\textit{Reduced decompositions of permutations in terms of star ...
J. Irving, A. Rattan
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On the Cayley graphs of symmetric group $S_4$ [PDF]

Journal of Mahani Mathematical Research
Let $S_n$ be the symmetric group of degree $n$. In this paper, we classify non-isomorphic Cayley graphs of $S_4$ of valency 3. Moreover, we verify that there are exactly 10 non-isomorphic  Cayley graphs of $S_4$ with valency 3.
Fatemeh Raei
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The Bruhat order on conjugation-invariant sets of involutions in the symmetric group [PDF]

Discrete Mathematics & Theoretical Computer Science, 2015
12 pages, 3 ...
Mikael Hansson
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