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

• Published in: Algebra and Discrete Mathematics
• Date: 2009
• Main Authors: Ballester-Bolinches, A., Cossey, J., Esteban-Romero, R.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154537
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A characterization via graphs of the soluble groups in which permutability is transitive / A. Ballester-Bolinches, J. Cossey, R. Esteban-Romero // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 4. — С. 10–17. — Бібліогр.: 30 назв. — англ.

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...