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...
Gespeichert in:
| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2009 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2009
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/154537 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-154537 |
|---|---|
| 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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
A characterization via graphs of the soluble groups in which permutability is transitive |
| spellingShingle |
A characterization via graphs of the soluble groups in which permutability is transitive Ballester-Bolinches, A. Cossey, J. Esteban-Romero, R. |
| 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 |
| author |
Ballester-Bolinches, A. Cossey, J. Esteban-Romero, R. |
| author_facet |
Ballester-Bolinches, A. Cossey, J. Esteban-Romero, R. |
| publishDate |
2009 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/154537 |
| 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. |
| work_keys_str_mv |
AT ballesterbolinchesa acharacterizationviagraphsofthesolublegroupsinwhichpermutabilityistransitive AT cosseyj acharacterizationviagraphsofthesolublegroupsinwhichpermutabilityistransitive AT estebanromeror acharacterizationviagraphsofthesolublegroupsinwhichpermutabilityistransitive AT ballesterbolinchesa characterizationviagraphsofthesolublegroupsinwhichpermutabilityistransitive AT cosseyj characterizationviagraphsofthesolublegroupsinwhichpermutabilityistransitive AT estebanromeror characterizationviagraphsofthesolublegroupsinwhichpermutabilityistransitive |
| first_indexed |
2025-12-07T20:53:10Z |
| last_indexed |
2025-12-07T20:53:10Z |
| _version_ |
1850884269666205696 |