Results 1 to 10 of about 1,008,178 (322)
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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The Cohomology of the Symmetric Groups [PDF]
Transactions of the American Mathematical Society, 1978 Let S n {{\mathcal {S}}_n} be the symmetric group on n letters and SG the limit of the sets of degree +1 homotopy equivalences of the n − 1 n - 1 sphere. Let p be an odd prime.
Benjamin M. Mann
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The Sylow subgroups of the symmetric groups [PDF]
Proceedings of the American Mathematical Society, 1955 particular representation by means of "reduced polynomials."' It has seemed worth while to restate some of his results using the concept of complete product L o M of two permutation groups L, M which he and Krasner have recently emphasised.2 This elementary notion is of great importance in the theory of finite groups and it appears in the literature in
A. J. Weir
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Hypercontractivity on the symmetric group
Forum of Mathematics, SigmaThe hypercontractive inequality is a fundamental result in analysis, with many applications throughout discrete mathematics, theoretical computer science, combinatorics and more.
Yuval Filmus +3 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
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On the Modular Representation of the Symmetric Group [PDF]
Proceedings of the National Academy of Sciences, 1955 1. Introduction. It has been observed (2) that the number of p-regular classes of Sn, i.e. the number of classes of order prime to p, is equal to the number of partitions (λ) of n in which no summand is repeated p or more times. For this relation to hold it is essential that p be prime. It seems natural to call the Young diagram [λ] associated with (λ)
G. de B. Robinson
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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
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Group codes over symmetric groups
AIMS Mathematics, 2023 Let $ \Bbb F_{q} $ be a finite field of characteristic $ q $ and $ S_n $ a symmetric group of order $ n! $. In this paper, group codes in the symmetric group algebras $ \Bbb F_{q}S_n $ with $ q > 3 $ and $ n = 3, 4 $ are proposed.
Yanyan Gao , Yangjiang Wei
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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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