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

Vernadsky National Library of Ukraine

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Title A characterization via graphs of the soluble groups in which permutability is transitive
 
Creator Ballester-Bolinches, A.
Cossey, J.
Esteban-Romero, R.
 
Description 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.
 
Date 2019-06-15T16:27:55Z
2019-06-15T16:27:55Z
2009
 
Type Article
 
Identifier 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.
1726-3255
2000 Mathematics Subject Classification:20D10, 05C25.
http://dspace.nbuv.gov.ua/handle/123456789/154537
 
Language en
 
Relation Algebra and Discrete Mathematics
 
Publisher Інститут прикладної математики і механіки НАН України