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SQUARE ROOT PRIME DIVISORS GRAPH OF A FINITE GROUP
Keywords:
finite groups, complete graph, planar graph, threshold graph, congruence classDOI:
https://doi.org/10.17654/0972555522019Abstract
Given a finite group $G$, let $X$ be the set of those primes which divide the order of $G$. A square root prime divisors graph of $G$ is defined as a graph whose vertices are the elements of $X$ with an edge between two elements if they are related by $\sqrt{p^\alpha+q^\beta}=n$, where $n$ is a natural number, $p$ and $q$ are two distinct primes in $X$, and $\alpha$ and $\beta$ are nonnegative integers. The aim of this paper is to study square root prime divisors graphs of a finite group.
Received: February 27, 2022
Accepted: March 29, 2022
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