Results 1 to 10 of about 50 (47)
The Asymptotic Statistics of Random Covering Surfaces
Let $\Gamma _{g}$ be the fundamental group of a closed connected orientable surface of genus $g\geq 2$ . We develop a new method for integrating over the representation space $\mathbb {X}_{g,n}=\mathrm {Hom}(\Gamma _{g},S_{n})$ , where
Michael Magee, Doron Puder
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Symmetric graphs of valency seven and their basic normal quotient graphs
We characterize seven valent symmetric graphs of order 2pqn2p{q}^{n} with ...
Pan Jiangmin, Huang Junjie, Wang Chao
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Shear Bearing Capacity of Framework Joints of Steel‐Reinforced Concrete‐Filled Circular Steel Tube
In this paper, in order to investigate the shear mechanism and shear capacity of framework joints of steel‐reinforced concrete‐filled circular steel tube (SRCFCST), a numerical finite element model reflecting the mechanical behavior of framework joints of SRCFCST column‐reinforced concrete beam is established through simulating concrete by the damage ...
Yongjun Lin +4 more
wiley +1 more source
The edge-regular complete maps
A map is called edge-regular if it is edge-transitive but not arc-transitive. In this paper, we show that a complete graph Kn{K}_{n} has an orientable edge-regular embedding if and only if n=pd>3n={p}^{d}\gt 3 with p an odd prime such that pd≡3{p}^{d ...
Yu Xue, Lou Ben Gong
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A Cayley graph Γ\Gamma on a group G is called a dual Cayley graph on G if the left regular representation of G is a subgroup of the automorphism group of Γ\Gamma (note that the right regular representation of G is always an automorphism group of Γ ...
Pan Jiangmin
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2-closures of primitive permutation groups of holomorph type
The 2-closure G(2) of a permutation group G on a finite set Ω is the largest subgroup of Sym(Ω) which has the same orbits as G in the induced action on Ω × Ω.
Yu Xue, Pan Jiangmin
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1-Colored Archetypal Permutations and Strings of Degree n [PDF]
New notions related to permutations are introduced here. We present the string of a 1-colored permutation as a closed planar curve, the fundamental 1-colored permutation as an equivalence class related to the equivalence in strings of the 1-colored ...
Gheorghe Eduard Tara
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Two gluing methods for string C-group representations of the symmetric groups [PDF]
The study of string C-group representations of rank at least \(n/2\) for the symmetric group \(S_n\) has gained a lot of attention in the last fifteen years. In a recent paper, Cameron et al.
Mulpas, Jessica, Leemans, Dimitri
core +1 more source
Improved covering results for conjugacy classes of symmetric groups via hypercontractivity
We study covering numbers of subsets of the symmetric group $S_n$ that exhibit closure under conjugation, known as normal sets. We show that for any $\epsilon>0$ , there exists $n_0$ such that if $n>n_0$ and A is a normal ...
Nathan Keller +2 more
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The Number of Homomorphisms from a Finite Abelian Group to a Symmetric Group (II) [PDF]
application/pdfFor any finite abelian group A, we give the lower bound of ordp(|Hom(A, Sn)|), and determine the region of convergence of the p-adic power series 1 + Sigma(infinity)(n=1) vertical bar Hom(A, S-n)vertical bar X-n/ n!.2000 Mathematics ...
竹ケ原, 裕元 +2 more
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