A characterisation via graphs of the soluble groups in which permutability is transitive
[EN] 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 som...
| Authors: | , , |
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| Format: | article |
| Publication Date: | 2009 |
| Country: | España |
| Institution: | Universitat Politècnica de València (UPV) |
| Repository: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Language: | English |
| OAI Identifier: | oai:riunet.upv.es:10251/73630 |
| Online Access: | https://riunet.upv.es/handle/10251/73630 |
| Access Level: | Open access |
| Keyword: | Finite soluble group PT-group Permutable subgroup Complete graph MATEMATICA APLICADA |
| Summary: | [EN] 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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