scholarly journals On Prime-Valent Symmetric Cayley Graphs of Finite Simple Groups

10.37236/9377 ◽  
2021 ◽  
Vol 28 (1) ◽  
Author(s):  
Jing Jian Li ◽  
Jicheng Ma
Keyword(s):  
Automorphism Groups ◽  
Cayley Graphs ◽  
Simple Groups ◽  
Finite Simple Groups

We give a characterization of the automorphism groups of connected prime-valent  symmetric Cayley graphs on finite (non-abelian) simple groups.

On Automorphism Groups of Symmetric Cayley Graphs of Finite Simple Groups with Valency Six

2010 ◽  
Vol 17 (01) ◽  
pp. 161-172
Author(s):  
Xingui Fang ◽  
Pu Niu ◽  
Jie Wang
Keyword(s):  
Automorphism Groups ◽  
Cayley Graphs ◽  
Simple Groups ◽  
Finite Simple Groups

In this paper we investigate the full automorphism groups of six-valent symmetric Cayley graphs Γ = Cay (G,S) for finite non-abelian simple groups G. We prove that for most finite non-abelian simple groups G, if Γ contains no cycle of length 4, then Aut Γ = G · Aut (G,S), where Aut (G,S) ≤ S 6.

On the Automorphism Groups of Cayley Graphs of Finite Simple Groups

2002 ◽  
Vol 66 (3) ◽  
pp. 563-578 ◽  
Author(s):  
Xin Gui Fang ◽  
Cheryl E. Praeger ◽  
Jie Wang
Keyword(s):  
Automorphism Groups ◽  
Cayley Graphs ◽  
Simple Groups ◽  
Finite Simple Groups

A new characterization of some finite simple groups

2015 ◽  
Vol 56 (1) ◽  
pp. 78-82 ◽  
Author(s):  
M. F. Ghasemabadi ◽  
A. Iranmanesh ◽  
F. Mavadatpour
Keyword(s):  
Simple Groups ◽  
Finite Simple Groups

Characterization of the finite simple groups by spectrum and order

2009 ◽  
Vol 48 (6) ◽  
pp. 385-409 ◽  
Author(s):  
A. V. Vasil’ev ◽  
M. A. Grechkoseeva ◽  
V. D. Mazurov
Keyword(s):  
Simple Groups ◽  
Finite Simple Groups

scholarly journals Isospectral Cayley graphs of some finite simple groups

2006 ◽  
Vol 135 (2) ◽  
pp. 381-393 ◽  
Author(s):  
Alexander Lubotzky ◽  
Beth Samuels ◽  
Uzi Vishne
Keyword(s):  
Cayley Graphs ◽  
Simple Groups ◽  
Finite Simple Groups
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