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Paper
Title

‎$‎۴‎$‎-Regular prime graphs of nonsolvable groups

Year: 1399
COI: JR_THEGR-9-3_005
Language: EnglishView: 19
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Authors

Donnie Kasyoki - School of Mathematics, Statistics and Actuarial Science, Maseno University, Kenya
Paul Oleche - Department of Pure and‎ ‎Mathematics‎, ‎Maseno University‎, ‎P.O‎. ‎Box ۳۳۳, Maseno‎, ‎Kenya

Abstract:

Let $G$ be a finite group and $\cd(G)$ denote the character degree set for $G$. The prime graph $\DG$ is a simple graph whose vertex set consists of prime divisors of elements in $\cd(G)$, denoted $\rho(G)$. Two primes $p,q\in \rho(G)$ are adjacent in $\DG$ if and only if $pq|a$ for some $a\in \cd(G)$. We determine which simple ۴-regular graphs occur as prime graphs for some finite nonsolvable group.

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Paper COI Code

This Paper COI Code is JR_THEGR-9-3_005. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1194929/

How to Cite to This Paper:

If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:
Kasyoki, Donnie and Oleche, Paul,1399,‎$‎۴‎$‎-Regular prime graphs of nonsolvable groups,https://civilica.com/doc/1194929

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