Ballester Bolinches, A.; Cossey, J.; Esteban Romero, R. (2009). A characterisation via graphs of the soluble groups in which permutability is transitive. Algebra and Discrete Mathematics. 4:10-17. http://hdl.handle.net/10251/73630
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Title:
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A characterisation via graphs of the soluble groups in which permutability is transitive
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Author:
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Ballester Bolinches, Adolfo
Cossey, John
Esteban Romero, Ramón
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UPV Unit:
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Universitat Politècnica de València. Escola Tècnica Superior d'Enginyeria Informàtica
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Issued date:
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Abstract:
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[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 ...[+]
[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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Subjects:
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Finite soluble group
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PT-group
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Permutable subgroup
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Complete graph
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Algebra and Discrete Mathematics. (issn:
1726-3255
)
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Publisher:
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Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine
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Publisher version:
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http://adm.luguniv.edu.ua/
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Project ID:
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info:eu-repo/grantAgreement/MEC//MTM2004-08219-C02-02/ES/ESTRUCTURA NORMAL Y ARITMETICA DE LOS GRUPOS II/
info:eu-repo/grantAgreement/MEC//MTM2007-68010-C03-02/ES/GRUPOS: ESTRUCTURA Y APLICACIONES II/
info:eu-repo/grantAgreement/GVA//GV%2F2007%2F243/
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Thanks:
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This paper has been suported by the research grants MTM2004-08219-C02-02 and MTM2007-68010-C03-02 from MEC (Spain) and FEDER (European Union), and GV/2007/243 from Generalitat (València).
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Type:
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Artículo
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