Embeddings of (proper) power graphs of finite groups

2014/02/06 by Doostabadi, Alireza, Ghouchan, Mohammad Farrokhi Derakhshandeh
#05C10 (Primary) #05C25 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1402.1322

Abstract

The (proper) power graph of a group is a graph whose vertex set is the set of all (nontrivial) elements of the group and two distinct vertices are adjacent if one is a power of the other. Various kinds of planarity of (proper) power graphs of groups are discussed.

Related

• Generalized power graph of groups
• Some results in a new power graphs in finite groups
• Power Graphs of Finite Group
• The complement of proper power graphs of finite groups
• Some Properties of Proper Power Graphs in Finite Abelian Groups