Results 1 to 10 of about 1,941 (117)

Collineation group as a subgroup of the symmetric group [PDF]

Open Mathematics, 2013
AbstractLet ψ be the projectivization (i.e., the set of one-dimensional vector subspaces) of a vector space of dimension ≥ 3 over a field. Let H be a closed (in the pointwise convergence topology) subgroup of the permutation group $\mathfrak{S}_\psi $ of the set ψ.
Bogomolov Fedor, Rovinsky Marat
doaj   +4 more sources

Hypercontractivity on the symmetric group

Forum of Mathematics, Sigma
The hypercontractive inequality is a fundamental result in analysis, with many applications throughout discrete mathematics, theoretical computer science, combinatorics and more.
Yuval Filmus, Guy Kindler, Noam Lifshitz, Dor Minzer   +3 more
doaj   +4 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
doaj   +1 more source

Number of terms in the group determinant

Examples and Counterexamples, 2023
In this paper, we prove that when the number of terms in the group determinant of order odd prime p is divided by p, the remainder is 1. In addition, we give a table of the number of terms in kth power of the group determinant of the cyclic group of ...
Naoya Yamaguchi, Yuka Yamaguchi
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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

The Characters of the Symmetric Group [PDF]

American Journal of Mathematics, 1937
A short and simple derivation of the formula of Frobenius, which gives the dimensions of the irreducible representations of S n , the symmetric group on any number, n , of symbols, is ...
openaire   +8 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
doaj   +1 more source

Symmetric groups and expanders [PDF]

Electronic Research Announcements of the American Mathematical Society, 2005
We construct explicit generating sets F n F_n and F ~ n \tilde F_n of the alternating and the symmetric groups, which turn the Cayley graphs C ( A l t (
openaire   +3 more sources