Results 1 to 10 of about 154,622 (268)
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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Symmetric designs and projective special unitary groups $\text{PSU}_{5}(q)$ [PDF]
International Journal of Group Theory, 2022 In this article, we prove that if a nontrivial symmetric $(v, k, \lambda)$ design admit a flag-transitive and point-primitive automorphism group $G$, then the socle $X$ of $G$ cannot be a projective special unitary group of dimension five. As a
Ashraf Daneshkhah
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GEOMETRY AND TOPOLOGY OF EXTERNAL AND SYMMETRIC PRODUCTS OF VARIETIES
Tạp chí Khoa học Đại học Đà Lạt, 2021 We give a brief overview of recent developments on the calculation of generating series for invariants of external products of suitable coefficients (e.g., constructible or coherent sheaves, or mixed Hodge modules) on complex quasi-projective varieties.
Laurentiu George Maxim
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Algebraic constructions of group divisible designs
Examples and Counterexamples, 2023 Some series of Group divisible designs using generalized Bhaskar Rao designs over Dihedral, Symmetric and Alternating groups are obtained.
Shyam Saurabh, Kishore Sinha
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Boolean lattices in finite alternating and symmetric groups
Forum of Mathematics, Sigma, 2020 Given a group G and a subgroup H, we let $\mathcal {O}_G(H)$ denote the lattice of subgroups of G containing H. This article provides a classification of the subgroups H of G such that $\mathcal {O}_{G}(H)$ is Boolean of rank at least
Andrea Lucchini +3 more
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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 given.
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Computing the number of symmetric colorings of elementary Abelian groups
Alexandria Engineering Journal, 2021 Given a finite group G and a positive integer r, an r-coloring of G is any mapping χ:G→{1,…,r}. Colorings χ and φ are equivalent if there exists g∈G such that χ(xg-1)=φ(x) for all x∈G. A coloring χ is symmetric if there exists g∈G such that χ(gx-1g)=χ(x)
Yuliya Zelenyuk
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On Coprimality Graphs for Symmetric Groups [PDF]
Graphs and Combinatorics, 2012 Let \(G\) be a group, \(X\) be a subset of \(G\) and \(\pi\) be a set of positive integers. We define a graph \(C_\pi(G,X)\) whose vertex set is \(X\) with \(x,y\in X\) joined by an edge provided \(x\neq y\) and the order of \(xy\) is in \(\pi\). Because \(xy\) and \(yx\) are conjugate elements of \(G\), this graph is undirected.
John Ballantyne +2 more
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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 (
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Word Measures on Symmetric Groups
International Mathematics Research Notices, 2022 AbstractFix a word $ w $ in a free group $ \textbf {F}$ on $r$ generators. A $w$-random permutation in the symmetric group $S_{N}$ is obtained by sampling $r$ independent uniformly random permutations $ \sigma _{1},\ldots ,\sigma _{r}\in S_{N}$ and evaluating $w\left (\sigma _{1},\ldots ,\sigma _{r}\right )$.
Hanany, Liam, Puder, Doron
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