Publications de l'Institut Mathématique, Nouvelle Série Vol. 98(112), pp. 251–263 (2015) 

Simple groups with the same prime graph as $^2D_n(q)$Behrooz Khosravi, A. BabaiSchool of Mathematics, Institute for Research in Fundamental sciences (IPM), Tehran, Iran; Department of Mathematics, University of Qom, Qom, IranAbstract: 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 $^2D_n(q)$. Keywords: prime graph; simple group; Vasil'ev conjecture Classification (MSC2000): 20D05; 20D60 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 18 Nov 2015. This page was last modified: 6 Jan 2016.
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