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періодичних видань НАН України
A characterization via graphs of the soluble groups in which permutability is transitive
Репозиторій DSpace/Manakin
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A characterization via graphs of the soluble groups in which permutability is transitive
Інший ID:
2000 Mathematics Subject Classification:20D10, 05C25.
Посилання:
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.
Підтримка:
This paper has been suported by the research grants MTM2004-08219-C02-02 andMTM2007-68010-C03-02 from MEC (Spain) and FEDER (EuropeanUnion), andGV/2007/243 from Generalitat (Val`encia).
Дата:
2009
Переглядів:
560
Завантажень:
184
Анотація:
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.
