Planarity of Inclusion Graph of Cyclic Subgroups of Finite Group

Let G be a finite group. The inclusion graph of cyclic subgroups of G, Ic(G), is the (undirected) graph with vertices of all cyclic subgroups of G, and two distinct cyclic subgroups ⟨a⟩ and ⟨b⟩, are adjacent if and only if ⟨a⟩ ⊂ ⟨b⟩ or ⟨b⟩ ⊂ ⟨a⟩. In this paper, we classify all finite abelian groups,...

Full description

Bibliographic Details
Main Authors: Zahra Garibbolooki, Sayyed Heidar Jafari
Format: Article
Language:English
Published: University of Kashan 2020-12-01
Series:Mathematics Interdisciplinary Research
Subjects:
Online Access:https://mir.kashanu.ac.ir/article_110818_50d9a27f16616352a203bb78c86e1f9f.pdf