Results 41 to 50 of about 1,034,541 (233)
Set-theoretic solutions of the Yang-Baxter equation, Braces, and Symmetric groups
, 2017 We involve simultaneously the theory of matched pairs of groups and the theory of braces to study set-theoretic solutions of the Yang-Baxter equation (YBE).
Gateva-Ivanova, Tatiana
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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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Subgroups of Infinite Symmetric Groups
Journal of the London Mathematical Society, 1990 Various questions are discussed on the subgroup structure of \(S:=Sym(\Omega)\), where \(\Omega\) is an infinite set. It is shown that S is not the union of a chain of size \(| \Omega |\) of proper subgroups, and results are obtained on the size of the smallest families of proper subgroups with set-theoretic union S.
Macpherson, H, Neumann, P
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Symmetric differentials and the fundamental group
, 2013 Esnault asked whether every smooth complex projective variety with infinite fundamental group has a nonzero symmetric differential (a section of a symmetric power of the cotangent bundle).
Brunebarbe, Yohan +2 more
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Symmetric groups and expander graphs [PDF]
Inventiones mathematicae, 2007 We construct explicit generating sets S_n and \tilde S_n of the for the alternating and the symmetric groups, which turn the Cayley graphs C(Alt(n), S_n) and C(Sym(n), \tilde S_n) into a family of bounded degree expanders for all n. This answers affirmatively an old question which has been asked many times in the literature.
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WikiJournal of Science, 2021 The affine symmetric group is a mathematical structure that describes the symmetries of the number line and the regular triangular tesselation of the plane, as well as related higher dimensional objects. It is an infinite extension of the symmetric group, which consists of all permutations (rearrangements) of a finite set.
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Symmetric presentations of Coxeter groups [PDF]
Proceedings of the Edinburgh Mathematical Society, 2011 AbstractWe apply the techniques of symmetric generation to establish the standard presentations of the finite simply laced irreducible finite Coxeter groups, that is, the Coxeter groups of typesAn,DnandEn, and show that these are naturally arrived at purely through consideration of certain natural actions of symmetric groups.
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Class expansion of some symmetric functions in Jucys-Murphy elements
, 2013 We present a method to compute the class expansion of a symmetric function in the Jucys-Murphy elements of the symmetric group. We apply this method to one-row Hall-Littlewood symmetric functions, which interpolate between power sums and complete ...
Lassalle, Michel
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Pseudo-Riemannian Symmetries on Heisenberg groups
, 2014 The notion of $\Gamma$-symmetric space is a natural generalization of the classical notion of symmetric space based on $\Z_2$-grading of Lie algebras.
Goze, Michel +2 more
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Path tableaux and combinatorial interpretations of immanants for class functions on $S_n$ [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Let $χ ^λ$ be the irreducible $S_n$-character corresponding to the partition $λ$ of $n$, equivalently, the preimage of the Schur function $s_λ$ under the Frobenius characteristic map.
Sam Clearman +2 more
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