A characterization via graphs of the soluble groups in which permutability is transitive

• Datum: 2018
• Hauptverfasser: Ballester-Bolinches, A., Cossey, John, Esteban-Romero, R.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: Finite soluble group; \(PT\)-group; permutable subgroup; complete graph; 20D10; 05C25
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/793
• Назва журналу: Algebra and Discrete Mathematics

There are different ways to associate to a group a certain graph. In this context, it is interesting to ask for the relations between the structure of the group, given in group-theoretical terms, and the structure of the graphs, given in the language of graph theory. In this paper we recall some pro...