Results 11 to 20 of about 104,157 (229)
The automorphism group of a graphon [PDF]
Journal of Algebra, 2015 We study the automorphism group of graphons (graph limits). We prove that after an appropriate "standardization" of the graphon, the automorphism group is compact. Furthermore, we characterize the orbits of the automorphism group on $k$-tuples of points.
Lovász, László, Szegedy, Balázs
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On automorphism groups of Toeplitz subshifts [PDF]
Discrete Analysis, 2017 On automorphism groups of Toeplitz subshifts, Discrete Analysis 2017:11, 19 pp. A discrete dynamical system is a space $X$ with some kind of structure, together with a map $\sigma\colon X\to X$ that preserves the structure.
Sebastian Donoso +3 more
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Automorphism groups of some variants of lattices
Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper we consider variants of the power set and the lattice of subspaces and study automorphism groups of these variants. We obtain irreducible generating sets for variants of subsets of a finite set lattice and subspaces of a finite vector space
O.G. Ganyushkin, O.O. Desiateryk
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A generalization of Pappus graph
Electronic Journal of Graph Theory and Applications, 2022 In this paper, we introduce a new family of cubic graphs Γ(m), called Generalized Pappus graphs, where m ≥ 3. We compute the automorphism group of Γ(m) and characterize when it is a Cayley graph.
Sucharita Biswas, Angsuman Das
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The Groups of Isometries of Metric Spaces over Vector Groups
Mathematics, 2022 In this paper, we consider the groups of isometries of metric spaces arising from finitely generated additive abelian groups. Let A be a finitely generated additive abelian group.
Sheng Bau, Yiming Lei
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Description of the automorphism groups of some Leibniz algebras
Researches in Mathematics, 2023 Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity: $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all elements $a,b,c\in L$.
L.A. Kurdachenko, O.O. Pypka, M.M. Semko
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Classifying cubic symmetric graphs of order 52p2; pp. 55–60 [PDF]
Proceedings of the Estonian Academy of Sciences, 2023 An automorphism group of a graph is said to be s-regular if it acts regularly on the set of s-arcs in the graph. A graph is s-regular if its full automorphism group is s-regular.
Shangjing Hao, Shixun Lin
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FREE GROUPS AND AUTOMORPHISM GROUPS OF INFINITE STRUCTURES
Forum of Mathematics, Sigma, 2014 Given a cardinal $\lambda $ with $\lambda =\lambda ^{\aleph _0}$
PHILIPP LÜCKE, SAHARON SHELAH
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An atlas of K3 surfaces with finite automorphism group [PDF]
Épijournal de Géométrie Algébrique, 2022 We study the geometry of the K3 surfaces $X$ with a finite number automorphisms and Picard number $\geq 3$. We describe these surfaces classified by Nikulin and Vinberg as double covers of simpler surfaces or embedded in a projective space.
Xavier Roulleau
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ON THE GROWTH OF GROUPS AND AUTOMORPHISMS [PDF]
International Journal of Algebra and Computation, 2005 We consider the growth functions βΓ(n) of amalgamated free products Γ = A *C B, where A ≅ B are finitely generated, C is free abelian and |A/C| = |A/B| = 2. For every d ∈ ℕ there exist examples with βΓ(n) ≃ nd+1βA(n). There also exist examples with βΓ(n) ≃ en. Similar behavior is exhibited among Dehn functions.
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