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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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Інститут прикладної математики і механіки НАН України
2009
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Series: | Algebra and Discrete Mathematics |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/154537 |
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irk-123456789-1545372019-06-16T01:28:59Z A characterization via graphs of the soluble groups in which permutability is transitive Ballester-Bolinches, A. Cossey, J. Esteban-Romero, R. 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. 2009 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/154537 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
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English |
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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. |
format |
Article |
author |
Ballester-Bolinches, A. Cossey, J. Esteban-Romero, R. |
spellingShingle |
Ballester-Bolinches, A. Cossey, J. Esteban-Romero, R. A characterization via graphs of the soluble groups in which permutability is transitive Algebra and Discrete Mathematics |
author_facet |
Ballester-Bolinches, A. Cossey, J. 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 |
publisher |
Інститут прикладної математики і механіки НАН України |
publishDate |
2009 |
url |
http://dspace.nbuv.gov.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. |
series |
Algebra and Discrete Mathematics |
work_keys_str_mv |
AT ballesterbolinchesa acharacterizationviagraphsofthesolublegroupsinwhichpermutabilityistransitive AT cosseyj acharacterizationviagraphsofthesolublegroupsinwhichpermutabilityistransitive AT estebanromeror acharacterizationviagraphsofthesolublegroupsinwhichpermutabilityistransitive AT ballesterbolinchesa characterizationviagraphsofthesolublegroupsinwhichpermutabilityistransitive AT cosseyj characterizationviagraphsofthesolublegroupsinwhichpermutabilityistransitive AT estebanromeror characterizationviagraphsofthesolublegroupsinwhichpermutabilityistransitive |
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2023-05-20T17:44:38Z |
last_indexed |
2023-05-20T17:44:38Z |
_version_ |
1796153987793158144 |