TY - JOUR
ID - 23718
TI - $4$-Regular prime graphs of nonsolvable groups
JO - International Journal of Group Theory
JA - IJGT
LA - en
SN - 2251-7650
AU - Kasyoki, Donnie
AU - Oleche, Paul
AD - School of Mathematics, Statistics and Actuarial Science, Maseno University,
Kenya
AD - Department of Pure and Mathematics, Maseno University, P.O. Box 333, Maseno, Kenya
Y1 - 2020
PY - 2020
VL - 9
IS - 3
SP - 193
EP - 222
KW - Nonsolvable group
KW - character
KW - character degree
KW - graph
KW - prime graph
DO - 10.22108/ijgt.2019.112277.1490
N2 - Let $G$ be a finite group and cd$(G)$ denote the character degree set for $G$. The prime graph $Δ(G)$ 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 $Δ(G)$ if and only if $pq|a$ for some $a\in cd(G)$. We determine which simple $4$-regular graphs occur as prime graphs for some finite nonsolvable group.
UR - https://ijgt.ui.ac.ir/article_23718.html
L1 - https://ijgt.ui.ac.ir/article_23718_69ca905b94960ef358bf148a4b31e12a.pdf
ER -