TY  - JOUR
T1  - Simple groups with m-regular first prime graph component
AU  - Iranmanesh, A.
AU  - Ghasemabadi, M. Foroudi
PY  - 2016
DA  - June
JF  - Hacettepe Journal of Mathematics and Statistics
PB  - Hacettepe University
WT  - DergiPark
SN  - 2651-477X
SP  - 705
EP  - 716
VL  - 45
IS  - 3
LA  - en
AB  - Let G be a finite simple group and GK(G) be the prime graph of G. Theconnected component of GK(G) whose vertex set contains 2 is denotedby $\pi_1(G)$. In this paper, our purpose is to classify the finite simplegroups G such that $\pi_1(G)$ is regular. We prove that $\pi_1(G)$ is regular ifand only if all the connected components of GK(G) are cliques.
KW  - Prime graph
KW  - simple groups
KW  - regular graph
CR  - .
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UR  - https://dergipark.org.tr/en/pub/hujms/issue//524347
L1  - https://dergipark.org.tr/en/download/article-file/644725
ER  -