Geodesic
Simple Groups with the Same Prime Graph as $^2D_n(q)$
Publications de l'Institut Mathématique, _N_S_98 (2015) no. 112, p. 251 .

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In 2006, Vasil'ev posed the problem: \emph{Does there exist a positive integer $k$ such that there are no $k$ pairwise nonisomorphic nonabelian finite simple groups with the same graphs of primes? Conjecture: $k=5$.} In 2013, Zvezdina, confirmed the conjecture for the case when one of the groups is alternating. We continue this work and determine all nonabelian simple groups having the same prime graphs as the nonabelian simple group $^2D_n(q)$.
DOI : 10.2298/PIM150304024K
Classification : 20D05, 20D60
Keywords: prime graph, simple group, Vasil'ev conjecture 
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Behrooz Khosravi; A. Babai. Simple Groups with the Same Prime Graph as $^2D_n(q)$. Publications de l'Institut Mathématique, _N_S_98 (2015) no. 112, p. 251 . doi : 10.2298/PIM150304024K. http://geodesic.mathdoc.fr/articles/10.2298/PIM150304024K/

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