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Digraphs from Endomorphisms of Finite Cyclic Groups

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Publication:2839733
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zbMath1302.05071arXiv1007.1712MaRDI QIDQ2839733

Min Sha

Publication date: 12 July 2013

Full work available at URL: https://arxiv.org/abs/1007.1712

zbMATH Keywords

automorphism groupdigraphadjacency matrixcyclic group


Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Directed graphs (digraphs), tournaments (05C20)


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The digraphs arising by the power maps of generalized quaternion groups, On the dynamics of endomorphisms of finite groups, Some structural properties of power graphs and k-power graphs of finite semigroups, HILBERT ARENS ALGEBRA-MODULES AND SEMIGROUP, Cycle structure of iterating Rédei functions, Rédei Actions on Finite Fields and Multiplication Map in Cyclic Group, The classification of finite groups by using iteration digraphs, Structural properties of group power digraphs, Isomorphic digraphs from affine maps of finite cyclic groups, Digraph from power mapping on noncommutative groups, The power digraphs associated with generalized dihedral groups



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