On the Diameters of Commuting Graphs of Permutational Wreath Products

• Datum: 2014
• Hauptverfasser: Leshchenko, Yu. Yu., Лещенко, Ю. Ю.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2014
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2167
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 transitiv...