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Ukrainian Mathematical Journal

, Volume 66, Issue 5, pp 732–742 | Cite as

On the Diameters of Commuting Graphs of Permutational Wreath Products

  • Yu. Yu. Leshchenko
Article
  • 49 Downloads

Let G be a group and let Z(G) be the center of G. The commuting graph of the group G is an undirected graph Γ(G) with the vertex set G \ Z(G) such that two vertices x, y are adjacent if and only if xy = yx. We study the commuting graphs of permutational wreath products H Open image in new window G, where G is a transitive permutation group acting on X (the top group of the wreath product) and (H, Y) is an Abelian permutation group acting on Y.

Keywords

Maximal Length Symmetric Group Permutation Group Cayley Graph Wreath Product 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Yu. Yu. Leshchenko
    • 1
  1. 1.Institute of Physics, Mathematics, and Computer ScienceCherkasy National UniversityCherkasyUkraine

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