A characterization via graphs of the soluble groups in which permutability is transitive
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 pro...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2009 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2009
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/154537 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862747790350745600 |
|---|---|
| author | Ballester-Bolinches, A. Cossey, J. Esteban-Romero, R. |
| author_facet | Ballester-Bolinches, A. Cossey, J. Esteban-Romero, R. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T20:53:10Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154537 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T20:53:10Z |
| publishDate | 2009 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Ballester-Bolinches, A. Cossey, J. Esteban-Romero, R. 2019-06-15T16:27:55Z 2019-06-15T16:27:55Z 2009 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. https://nasplib.isofts.kiev.ua/handle/123456789/154537 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. 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). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics A characterization via graphs of the soluble groups in which permutability is transitive Article published earlier |
| spellingShingle | A characterization via graphs of the soluble groups in which permutability is transitive Ballester-Bolinches, A. Cossey, J. Esteban-Romero, R. |
| title | A characterization via graphs of the soluble groups in which permutability is transitive |
| title_full | A characterization via graphs of the soluble groups in which permutability is transitive |
| title_fullStr | A characterization via graphs of the soluble groups in which permutability is transitive |
| title_full_unstemmed | A characterization via graphs of the soluble groups in which permutability is transitive |
| title_short | A characterization via graphs of the soluble groups in which permutability is transitive |
| title_sort | characterization via graphs of the soluble groups in which permutability is transitive |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154537 |
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