Results 1 to 10 of about 298 (62)
Generating infinite symmetric groups [PDF]
, 2004 Let S=Sym(\Omega) be the group of all permutations of an infinite set \Omega. Extending an argument of Macpherson and Neumann, it is shown that if U is a generating set for S as a group, respectively as a monoid, then there exists a positive integer n ...
George M. Bergman, M. Bergman
core +4 more sources
The Characterizations of δ — Algebras with Their Ideals
Journal of Physics: Conference Series, 2021 We explored new algebra structures such as δ —algebra, δ —subalgebra and δ —ideal in this work. In addition, we study their fundamental characteristics and their connections with other algebras, such as d/ρ/BCK - algebras, d/ρ/BCK – subalgebras and d/ρ ...
S. Khalil, A. Hassan
semanticscholar +1 more source
The Asymptotic Statistics of Random Covering Surfaces
Forum of Mathematics, Pi, 2023 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
Open Mathematics, 2021 We characterize seven valent symmetric graphs of order 2pqn2p{q}^{n} with ...
Pan Jiangmin, Huang Junjie, Wang Chao
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A note on the probability of generating alternating or symmetric groups [PDF]
, 2015 We improve on recent estimates for the probability of generating the alternating and symmetric groups $\mathrm{Alt}(n)$ and $\mathrm{Sym}(n)$. In particular we find the sharp lower bound, if the probability is given by a quadratic in $n^{-1}$. This leads
Morgan, Luke, Roney-Dougal, Colva M.
core +5 more sources
FI-modules over Noetherian rings [PDF]
, 2012 FI-modules were introduced by the first three authors to encode sequences of representations of symmetric groups. Over a field of characteristic 0, finite generation of an FI-module implies representation stability for the corresponding sequence of Sn ...
Thomas Church +3 more
semanticscholar +1 more source
Finding involutions with small support [PDF]
, 2012 We show that the proportion of permutations $g$ in $S_n$ or $A_n$ such that $g$ has even order and $g^{|g|/2}$ is an involution with support of cardinality at most $\lceil n^\varepsilon \rceil$ is at least a constant multiple of $\varepsilon$. Using this
Niemeyer, Alice C., Popiel, Tomasz
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Shear Bearing Capacity of Framework Joints of Steel‐Reinforced Concrete‐Filled Circular Steel Tube
Advances in Materials Science and Engineering, Volume 2020, Issue 1, 2020., 2020 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
Open Mathematics, 2020 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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Open Mathematics, 2020 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
doaj +1 more source