The full automorphism group of the power (di)graph of a finite group

2014/06/11 by Feng, Min, Ma, Xuanlong, Wang, Kaishun · 1 citation
#05C25 #20B25 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1406.2788

Abstract

We describe the full automorphism group of the power (di)graph of a finite group. As an application, we solve a conjecture proposed by Doostabadi, Erfanian and Jafarzadeh in 2013.

Cited by

• On the Complexity of Problems on Graphs Defined on Groups

Related

• An elementary proof of a conjecture on graph-automorphism
• A description of automorphism group of power graphs of finite groups
• Generalizing the enhanced power graph of a group with respect to automorphisms
• Power Graphs of Finite Groups
• Power Graphs of Finite Group