Results 31 to 40 of about 15,265,231 (306)
Minimum Neighborhood of Alternating Group Graphs
IEEE Access, 2019 The minimum neighborhood and combinatorial property are two important indicators of fault tolerance of a multiprocessor system. Given a graph G, θG(q) is the minimum number of vertices adjacent to a set of q vertices of G (1 ≤ q ≤ |V(
Yanze Huang +3 more
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Permutation statistics on the alternating group
Advances in Applied Mathematics, 2004 45 ...
Amitai Regev, Yuval Roichman
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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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Huppert's Conjecture for alternating groups
Journal of Algebra, 2017 20 ...
Christine Bessenrodt +2 more
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A basic set for the alternating group [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2010 This article concerns the $p$-basic set existence problem in the representation theory of finite groups. We show that, for any odd prime $p$, the alternating group $\A_n$ has a $p$-basic set. More precisely, we prove that the symmetric group $\sym_n$ has a $p$-basic set with some additional properties, allowing us to deduce a $p$-basic set for $\A_n ...
Brunat, O. +1 more
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Automorphism group of the complete alternating group graph [PDF]
Applied Mathematics and Computation, 2016 Let Sn and An denote the symmetric group and alternating group of degree n with n ≥ 3, respectively. Let S be the set of all 3-cycles in Sn. The complete alternating group graph, denoted by CAGn, is defined as the Cayley graph Cay(An, S) on An with ...
Xueyi Huang, Qiongxiang Huang
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Alternating Groups and Latin Squares
European Journal of Combinatorics, 1989 The question studied here is, whether the alternating group on n symbols, \({\mathcal A}(n)\), can be the multiplication group of a loop. Let \({\mathcal M}_{\ell}\) and \({\mathcal M}_ r\), respectively, be the left and right multiplication groups of a loop, and let \({\mathcal M}:={\mathcal M}_{\ell}\cup {\mathcal M}_ r\).
Ales Drápal, Tomás Kepka
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A new characterization of A7 and A8
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 Let G be a finite group and πe(G) be the set of element orders of G. Let k ∈ πe (G)and mk be the number of elements of order k in G. Set nse(G):={mk|k ∈ πe (G)}. It is proved that An are uniquely determined by nse(An), where n ∈ {4,5,6}.
Asboei Alireza Khalili +2 more
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PLoS ONE, 2023 Long-term high-fat feeding results in intramyocellular lipid accumulation, leading to insulin resistance. Intramyocellular lipid accumulation is related to an energy imbalance between excess fat intake and fatty acid consumption.
Ryosuke Nakanishi +8 more
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Product of Conjugacy Classes of the Alternating Group An
مجلة بغداد للعلوم, 2012 For a nonempty subset X of a group G and a positive integer m , the product of X , denoted by Xm ,is the set Xm = That is , Xm is the subset of G formed by considering all possible ordered ...
Baghdad Science Journal
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