Results 31 to 40 of about 15,374,978 (303)
Conjectures on the normal covering number of finite symmetric and alternating groups [PDF]
International Journal of Group Theory, 2014 Let gamma(Sn) be the minimum number of proper subgroups Hi, i = 1,...,ell, of the symmetric group Sn such that each element in Sn lies in some conjugate of one of the Hi.
Daniela Bubboloni +2 more
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Chromatic Properties of the Pancake Graphs
Discussiones Mathematicae Graph Theory, 2017 Chromatic properties of the Pancake graphs Pn, n ⩾ 2, that are Cayley graphs on the symmetric group Symn generated by prefix-reversals are investigated in the paper.
Konstantinova Elena
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On the Genus of Symmetric Groups [PDF]
Transactions of the American Mathematical Society, 1981 A new method for determining genus of a group is described. It involves first getting a bound on the sizes of the generating set for which the corresponding Cayley graph could have smaller genus. The allowable generating sets are then examined by methods of computing average face sizes and by voltage graph techniques to find the best embeddings.
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The Graphic Nature of the Symmetric Group [PDF]
Experimental Mathematics, 2013 23 pages, many figures.
J. L. Brumbaugh +5 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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Some Symmetric Identities Involving the Stirling Polynomials Under the Finite Symmetric Group
Mathematics, 2018 In the paper, the authors present some symmetric identities involving the Stirling polynomials and higher order Bernoulli polynomials under all permutations in the finite symmetric group of degree n.
Dongkyu Lim, Feng Qi
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Tamari Lattices for Parabolic Quotients of the Symmetric Group [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 We present a generalization of the Tamari lattice to parabolic quotients of the symmetric group. More precisely, we generalize the notions of 231-avoiding permutations, noncrossing set partitions, and nonnesting set partitions to parabolic quotients, and
Henri Mühle, Nathan Williams
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Statistical physics of the symmetric group [PDF]
Physical Review E, 2017 12 pages, 4 figures, 1 ...
Williams, Mobolaji, Shakhnovich, Eugene
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On the separation of eigenvalues by the permutation group
Special Matrices, 2014 Let A be an invertible 3 × 3 complex matrix. It is shown that there is a 3 × 3 permutation matrix P such that the product PA has at least two distinct eigenvalues.
Cigler Grega, Jerman Marjan
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