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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| Дата: | 2018 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/793 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-793 |
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oai:ojs.admjournal.luguniv.edu.ua:article-7932018-04-04T08:49:22Z A characterization via graphs of the soluble groups in which permutability is transitive Ballester-Bolinches, A. Cossey, John Esteban-Romero, R. Finite soluble group; \(PT\)-group; permutable subgroup; complete graph 20D10, 05C25 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. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/793 Algebra and Discrete Mathematics; Vol 8, No 4 (2009) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/793/323 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
Finite soluble group; \(PT\)-group; permutable subgroup; complete graph 20D10 05C25 |
| spellingShingle |
Finite soluble group; \(PT\)-group; permutable subgroup; complete graph 20D10 05C25 Ballester-Bolinches, A. Cossey, John Esteban-Romero, R. A characterization via graphs of the soluble groups in which permutability is transitive |
| topic_facet |
Finite soluble group; \(PT\)-group; permutable subgroup; complete graph 20D10 05C25 |
| format |
Article |
| author |
Ballester-Bolinches, A. Cossey, John Esteban-Romero, R. |
| author_facet |
Ballester-Bolinches, A. Cossey, John Esteban-Romero, R. |
| author_sort |
Ballester-Bolinches, A. |
| title |
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_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_sort |
characterization via graphs of the soluble groups in which permutability is transitive |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/793 |
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AT ballesterbolinchesa acharacterizationviagraphsofthesolublegroupsinwhichpermutabilityistransitive AT cosseyjohn acharacterizationviagraphsofthesolublegroupsinwhichpermutabilityistransitive AT estebanromeror acharacterizationviagraphsofthesolublegroupsinwhichpermutabilityistransitive AT ballesterbolinchesa characterizationviagraphsofthesolublegroupsinwhichpermutabilityistransitive AT cosseyjohn characterizationviagraphsofthesolublegroupsinwhichpermutabilityistransitive AT estebanromeror characterizationviagraphsofthesolublegroupsinwhichpermutabilityistransitive |
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2024-04-12T06:25:50Z |
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2024-04-12T06:25:50Z |
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1796109200210788352 |