On the Diameters of Commuting Graphs of Permutational Wreath Products

  • Yu. Yu. Leshchenko

Abstract

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 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.
Published
25.05.2014
How to Cite
Leshchenko, Y. Y. “On the Diameters of Commuting Graphs of Permutational Wreath Products”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, no. 5, May 2014, pp. 656–665, http://umj.imath.kiev.ua/index.php/umj/article/view/2167.
Section
Research articles