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| 512.542 (12) |
| Algebră (410) |
 SM ISO690:2012ELAHEH, Haghi, ASHRAFI, Ali-Reza. Note on the cyclic subgroup intersection graph of a nite group. In: Quasigroups and Related Systems, 2017, vol. 25, nr. 2(37), pp. 245-250. ISSN 1561-2848. |
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 Quasigroups and Related Systems |
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| Volumul 25, Numărul 2(37) / 2017 / ISSN 1561-2848 | ||||||
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| CZU: 512.542 | ||||||
| MSC 2010: 20D99 | ||||||
| Pag. 245-250 | ||||||
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The cyclic subgroup intersection graph of a finite group G, ГCSI (G), is a simple graph with non-trivial cyclic subgroups as vertex set. Two cyclic subgroups are adjacent if and only if they have a non-trivial intersection. It is easy to see that ГCSI (G) is a subgraph of the intersection graph was introduced by Csákány and Pollák many years ago. In this paper the main properties of this new graph is studied. The graph structure of the cyclic groups, dihedral groups, generalized quaternion groups and the group ZpαxZpβ are completely determined . |
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| Cuvinte-cheie Cyclicsubgroupintersectiongraph, subgroupintersectiongraph, generalizedquaterniongroup. Theresearchoftheauthorsarepartiallysupp ortedbytheUniversityofKashanundergrantno364988/121 |
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Dublin Core Export
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Elaheh, H.</dc:creator> <dc:creator>Ashrafi, A.R.</dc:creator> <dc:date>2017-12-21</dc:date> <dc:description xml:lang='en'><p>The cyclic subgroup intersection graph of a finite group G, ГCSI (G), is a simple graph with non-trivial cyclic subgroups as vertex set. Two cyclic subgroups are adjacent if and only if they have a non-trivial intersection. It is easy to see that ГCSI (G) is a subgraph of the intersection graph was introduced by Csákány and Pollák many years ago. In this paper the main properties of this new graph is studied. The graph structure of the cyclic groups, dihedral groups, generalized quaternion groups and the group ZpαxZpβ are completely determined .</p></dc:description> <dc:source>Quasigroups and Related Systems 37 (2) 245-250</dc:source> <dc:subject>Cyclicsubgroupintersectiongraph</dc:subject> <dc:subject>subgroupintersectiongraph</dc:subject> <dc:subject>generalizedquaterniongroup. Theresearchoftheauthorsarepartiallysupp ortedbytheUniversityofKashanundergrantno364988/121</dc:subject> <dc:title>Note on the cyclic subgroup intersection graph of a nite group</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
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