Note on the cyclic subgroup intersection graph of a nite group
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2020-07-10 03:33
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ELAHEH, 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
Volumul 25, Numărul 2(37) / 2017 / ISSN 1561-2848

Note on the cyclic subgroup intersection graph of a nite group

CZU: 512.542
MSC 2010: 20D99

Pag. 245-250

Elaheh Haghi, Ashrafi Ali-Reza
 
University of Kashan
 
 
Disponibil în IBN: 16 decembrie 2018


Rezumat

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 .

Cuvinte-cheie
Cyclicsubgroupintersectiongraph, subgroupintersectiongraph, generalizedquaterniongroup. Theresearchoftheauthorsarepartiallysupp ortedbytheUniversityofKashanundergrantno364988/121

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