On connected components and perfect codes of proper order graphs of finite groups

Let G be a finite group with the identity element e. The proper order graph of G, denoted by â* (G), is an undirected graph with a vertex set G \ {e}, where two distinct vertices x and y are adjacent whenever o(x) | o(y) or o(y) | o(x), where o(x) and o(y) are the orders of x and y, respectively. Th...

Full description

Bibliographic Details
Main Authors: Huani Li, Shixun Lin, Xuanlong Ma
Format: Article
Language:English
Published: Estonian Academy Publishers 2024-02-01
Series:Proceedings of the Estonian Academy of Sciences
Subjects:
Online Access:https://kirj.ee/wp-content/plugins/kirj/pub/proc-1-2024-68-76_20240202102007.pdf