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A characterization via graphs of the soluble groups in which permutability is transitive
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A characterization via graphs of the soluble groups in which permutability is transitive
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| Ballester-Bolinches, Adolfo; Cossey, John; Esteban Romero, Ramón | |||
| This document is a artículoDate2009 | |||
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| 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 properties of the groups in which permutability is a transitive relation and present a new characterisation of the class of soluble groups in which permutability is a transitive relation in graph-theoretical terms. | |||
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Ballester-Bolinches, Adolfo Cossey, John Esteban Romero, Ramón 2009 A characterization via graphs of the soluble groups in which permutability is transitive Algebra and Discrete Mathematics 4 10 17 |
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12 - Matemàtiques [287]