Results 1 to 10 of about 149,480 (149)
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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Symmetric group characters as symmetric functions [PDF]
Advances in Mathematics, 2021 35 pages; this is the more complete version of arXiv:1510.00438; v5 differs from previous versions with minor edits and the addition of an appendix about using Sagemath to do computations with these bases (this appendix does not appear in the published journal version)
Orellana, Rosa, Zabrocki, Mike
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Twisted symmetric group actions [PDF]
Pacific Journal of Mathematics, 2010 We will show the raitonality of some twisted symmetric group actions.
Hoshi, Akinari, Kang, Ming-chang
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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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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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QUANTUM ISOMETRY GROUPS OF SYMMETRIC GROUPS [PDF]
International Journal of Mathematics, 2012 We identify the quantum isometry groups of spectral triples built on the symmetric groups with length functions arising from the nearest-neighbor transpositions as generators. It turns out that they are isomorphic to certain "doubling" of the group algebras of the respective symmetric groups.
Liszka-Dalecki, Jan, Sołtan, Piotr M.
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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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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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