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Algebra and Discrete Mathematics, 2009, выпуск 4, страницы 10–17
(Mi adm140)
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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
SURVEY ARTICLE
A characterization via graphs of the soluble groups in which permutability is transitive
A. Ballester-Bolinchesa, John Cosseyb, R. Esteban-Romeroc a Departament d'Algebra, Universitat de València, Dr. Moliner, 50, E–46100 Burjassot, València, Spain
b Mathematics Department, Mathematical
Sciences Institute, Australian National University; Canberra, ACT 0200, Australia
c Institut Universitari de Matemàtica Pura
i Aplicada, Universitat Politècnica de València; Camì de Vera, s/n; E–46022 València, Spain
Аннотация:
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.
Ключевые слова:
Finite soluble group; PT-group; permutable subgroup; complete graph.
Поступила в редакцию: 28.07.2009 Исправленный вариант: 28.07.2009
Образец цитирования:
A. Ballester-Bolinches, John Cossey, R. Esteban-Romero, “A characterization via graphs of the soluble groups in which permutability is transitive”, Algebra Discrete Math., 2009, no. 4, 10–17
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm140 https://www.mathnet.ru/rus/adm/y2009/i4/p10
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